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Finding the Fourth Proportional to 5,862.25, 8,792.42 and 2,166.22

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Solution

The fourth proportional to 5,862.25, 8,792.42 and 2,166.22 is: 3,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.25 : 8,792.42 = 2,166.22 : x
  2. Step 2: Convert to fraction form
    5,862.25/8,792.42 = 2,166.22/x
  3. Step 3: Cross multiply
    5,862.25x = 8,792.42 × 2,166.22
  4. Step 4: Simplify right side
    5,862.25x = 19,046,296.78
  5. Step 5: Solve for x
    x = 19,046,296.78/5,862.25
  6. Step 6: Final answer
    x = 3,248.98

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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.