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Finding the Fourth Proportional to 3,537.68, 5,304.89 and 1,588.61

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Solution

The fourth proportional to 3,537.68, 5,304.89 and 1,588.61 is: 2,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.68 : 5,304.89 = 1,588.61 : x
  2. Step 2: Convert to fraction form
    3,537.68/5,304.89 = 1,588.61/x
  3. Step 3: Cross multiply
    3,537.68x = 5,304.89 × 1,588.61
  4. Step 4: Simplify right side
    3,537.68x = 8,427,418.54
  5. Step 5: Solve for x
    x = 8,427,418.54/3,537.68
  6. Step 6: Final answer
    x = 2,382.19

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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.