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Finding the Fourth Proportional to 3,726.54, 5,586.17 and 1,537.11

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Solution

The fourth proportional to 3,726.54, 5,586.17 and 1,537.11 is: 2,304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.54 : 5,586.17 = 1,537.11 : x
  2. Step 2: Convert to fraction form
    3,726.54/5,586.17 = 1,537.11/x
  3. Step 3: Cross multiply
    3,726.54x = 5,586.17 × 1,537.11
  4. Step 4: Simplify right side
    3,726.54x = 8,586,550.08
  5. Step 5: Solve for x
    x = 8,586,550.08/3,726.54
  6. Step 6: Final answer
    x = 2,304.16

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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.