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Finding the Fourth Proportional to 3,862.52, 5,794.38 and 1,265.25

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Solution

The fourth proportional to 3,862.52, 5,794.38 and 1,265.25 is: 1,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.52 : 5,794.38 = 1,265.25 : x
  2. Step 2: Convert to fraction form
    3,862.52/5,794.38 = 1,265.25/x
  3. Step 3: Cross multiply
    3,862.52x = 5,794.38 × 1,265.25
  4. Step 4: Simplify right side
    3,862.52x = 7,331,339.30
  5. Step 5: Solve for x
    x = 7,331,339.30/3,862.52
  6. Step 6: Final answer
    x = 1,898.07

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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.