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Finding the Fourth Proportional to 3,874.75, 5,812.43 and 2,654.28

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Solution

The fourth proportional to 3,874.75, 5,812.43 and 2,654.28 is: 3,981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.75 : 5,812.43 = 2,654.28 : x
  2. Step 2: Convert to fraction form
    3,874.75/5,812.43 = 2,654.28/x
  3. Step 3: Cross multiply
    3,874.75x = 5,812.43 × 2,654.28
  4. Step 4: Simplify right side
    3,874.75x = 15,427,803.43
  5. Step 5: Solve for x
    x = 15,427,803.43/3,874.75
  6. Step 6: Final answer
    x = 3,981.63

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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.