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Finding the Fourth Proportional to 3,862.26, 5,794.20 and 1,265.40

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Solution

The fourth proportional to 3,862.26, 5,794.20 and 1,265.40 is: 1,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.26 : 5,794.20 = 1,265.40 : x
  2. Step 2: Convert to fraction form
    3,862.26/5,794.20 = 1,265.40/x
  3. Step 3: Cross multiply
    3,862.26x = 5,794.20 × 1,265.40
  4. Step 4: Simplify right side
    3,862.26x = 7,331,980.68
  5. Step 5: Solve for x
    x = 7,331,980.68/3,862.26
  6. Step 6: Final answer
    x = 1,898.37

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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.