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Finding the Fourth Proportional to 3,862.26, 5,792.10 and 1,264.58

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Solution

The fourth proportional to 3,862.26, 5,792.10 and 1,264.58 is: 1,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.26 : 5,792.10 = 1,264.58 : x
  2. Step 2: Convert to fraction form
    3,862.26/5,792.10 = 1,264.58/x
  3. Step 3: Cross multiply
    3,862.26x = 5,792.10 × 1,264.58
  4. Step 4: Simplify right side
    3,862.26x = 7,324,573.82
  5. Step 5: Solve for x
    x = 7,324,573.82/3,862.26
  6. Step 6: Final answer
    x = 1,896.45

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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.