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Finding the Fourth Proportional to 3,758.40, 5,641.92 and 2,609.28

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Solution

The fourth proportional to 3,758.40, 5,641.92 and 2,609.28 is: 3,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.40 : 5,641.92 = 2,609.28 : x
  2. Step 2: Convert to fraction form
    3,758.40/5,641.92 = 2,609.28/x
  3. Step 3: Cross multiply
    3,758.40x = 5,641.92 × 2,609.28
  4. Step 4: Simplify right side
    3,758.40x = 14,721,349.02
  5. Step 5: Solve for x
    x = 14,721,349.02/3,758.40
  6. Step 6: Final answer
    x = 3,916.92

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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.