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Finding the Fourth Proportional to 3,862.72, 5,794.52 and 1,265.12

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Solution

The fourth proportional to 3,862.72, 5,794.52 and 1,265.12 is: 1,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.72 : 5,794.52 = 1,265.12 : x
  2. Step 2: Convert to fraction form
    3,862.72/5,794.52 = 1,265.12/x
  3. Step 3: Cross multiply
    3,862.72x = 5,794.52 × 1,265.12
  4. Step 4: Simplify right side
    3,862.72x = 7,330,763.14
  5. Step 5: Solve for x
    x = 7,330,763.14/3,862.72
  6. Step 6: Final answer
    x = 1,897.82

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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.