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Finding the Fourth Proportional to 3,732.80, 5,601.14 and 1,654.24

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Solution

The fourth proportional to 3,732.80, 5,601.14 and 1,654.24 is: 2,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.80 : 5,601.14 = 1,654.24 : x
  2. Step 2: Convert to fraction form
    3,732.80/5,601.14 = 1,654.24/x
  3. Step 3: Cross multiply
    3,732.80x = 5,601.14 × 1,654.24
  4. Step 4: Simplify right side
    3,732.80x = 9,265,629.83
  5. Step 5: Solve for x
    x = 9,265,629.83/3,732.80
  6. Step 6: Final answer
    x = 2,482.22

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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.