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Finding the Fourth Proportional to 5,654.74, 8,486.16 and 4,189.48

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Solution

The fourth proportional to 5,654.74, 8,486.16 and 4,189.48 is: 6,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.74 : 8,486.16 = 4,189.48 : x
  2. Step 2: Convert to fraction form
    5,654.74/8,486.16 = 4,189.48/x
  3. Step 3: Cross multiply
    5,654.74x = 8,486.16 × 4,189.48
  4. Step 4: Simplify right side
    5,654.74x = 35,552,597.60
  5. Step 5: Solve for x
    x = 35,552,597.60/5,654.74
  6. Step 6: Final answer
    x = 6,287.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.