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Finding the Fourth Proportional to 3,654.14, 5,481.23 and 1,057.07

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Solution

The fourth proportional to 3,654.14, 5,481.23 and 1,057.07 is: 1,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.14 : 5,481.23 = 1,057.07 : x
  2. Step 2: Convert to fraction form
    3,654.14/5,481.23 = 1,057.07/x
  3. Step 3: Cross multiply
    3,654.14x = 5,481.23 × 1,057.07
  4. Step 4: Simplify right side
    3,654.14x = 5,794,011.10
  5. Step 5: Solve for x
    x = 5,794,011.10/3,654.14
  6. Step 6: Final answer
    x = 1,585.60

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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.