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Finding the Fourth Proportional to 4,185.44, 5,770.13 and 4,056.04

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Solution

The fourth proportional to 4,185.44, 5,770.13 and 4,056.04 is: 5,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.44 : 5,770.13 = 4,056.04 : x
  2. Step 2: Convert to fraction form
    4,185.44/5,770.13 = 4,056.04/x
  3. Step 3: Cross multiply
    4,185.44x = 5,770.13 × 4,056.04
  4. Step 4: Simplify right side
    4,185.44x = 23,403,843.38
  5. Step 5: Solve for x
    x = 23,403,843.38/4,185.44
  6. Step 6: Final answer
    x = 5,591.73

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Half scale
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Double scale
Find fourth proportional to 4,186.44, 5,771.50 and 4,057.04
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.