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Finding the Fourth Proportional to 3,862.72, 5,790.96 and 1,552

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Solution

The fourth proportional to 3,862.72, 5,790.96 and 1,552 is: 2,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.72 : 5,790.96 = 1,552 : x
  2. Step 2: Convert to fraction form
    3,862.72/5,790.96 = 1,552/x
  3. Step 3: Cross multiply
    3,862.72x = 5,790.96 × 1,552
  4. Step 4: Simplify right side
    3,862.72x = 8,987,569.92
  5. Step 5: Solve for x
    x = 8,987,569.92/3,862.72
  6. Step 6: Final answer
    x = 2,326.75

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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.