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Finding the Fourth Proportional to 4,182.76, 5,770.12 and 3,244.76

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Solution

The fourth proportional to 4,182.76, 5,770.12 and 3,244.76 is: 4,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.76 : 5,770.12 = 3,244.76 : x
  2. Step 2: Convert to fraction form
    4,182.76/5,770.12 = 3,244.76/x
  3. Step 3: Cross multiply
    4,182.76x = 5,770.12 × 3,244.76
  4. Step 4: Simplify right side
    4,182.76x = 18,722,654.57
  5. Step 5: Solve for x
    x = 18,722,654.57/4,182.76
  6. Step 6: Final answer
    x = 4,476.15

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Half scale
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Double scale
Find fourth proportional to 4,183.76, 5,771.50 and 3,245.76
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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.