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Finding the Fourth Proportional to 3,654.68, 5,481.40 and 1,057

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Solution

The fourth proportional to 3,654.68, 5,481.40 and 1,057 is: 1,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.68 : 5,481.40 = 1,057 : x
  2. Step 2: Convert to fraction form
    3,654.68/5,481.40 = 1,057/x
  3. Step 3: Cross multiply
    3,654.68x = 5,481.40 × 1,057
  4. Step 4: Simplify right side
    3,654.68x = 5,793,839.80
  5. Step 5: Solve for x
    x = 5,793,839.80/3,654.68
  6. Step 6: Final answer
    x = 1,585.32

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