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Finding the Fourth Proportional to 3,732.39, 5,601.12 and 1,541.10

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Solution

The fourth proportional to 3,732.39, 5,601.12 and 1,541.10 is: 2,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.39 : 5,601.12 = 1,541.10 : x
  2. Step 2: Convert to fraction form
    3,732.39/5,601.12 = 1,541.10/x
  3. Step 3: Cross multiply
    3,732.39x = 5,601.12 × 1,541.10
  4. Step 4: Simplify right side
    3,732.39x = 8,631,886.03
  5. Step 5: Solve for x
    x = 8,631,886.03/3,732.39
  6. Step 6: Final answer
    x = 2,312.70

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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.