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Finding the Fourth Proportional to 3,862.44, 5,792.73 and 1,781.15

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Solution

The fourth proportional to 3,862.44, 5,792.73 and 1,781.15 is: 2,671.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.44 : 5,792.73 = 1,781.15 : x
  2. Step 2: Convert to fraction form
    3,862.44/5,792.73 = 1,781.15/x
  3. Step 3: Cross multiply
    3,862.44x = 5,792.73 × 1,781.15
  4. Step 4: Simplify right side
    3,862.44x = 10,317,692.08
  5. Step 5: Solve for x
    x = 10,317,692.08/3,862.44
  6. Step 6: Final answer
    x = 2,671.29

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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.