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Finding the Fourth Proportional to 3,862.56, 5,794.56 and 1,265.28

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Solution

The fourth proportional to 3,862.56, 5,794.56 and 1,265.28 is: 1,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.56 : 5,794.56 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    3,862.56/5,794.56 = 1,265.28/x
  3. Step 3: Cross multiply
    3,862.56x = 5,794.56 × 1,265.28
  4. Step 4: Simplify right side
    3,862.56x = 7,331,740.88
  5. Step 5: Solve for x
    x = 7,331,740.88/3,862.56
  6. Step 6: Final answer
    x = 1,898.16

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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.