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Finding the Fourth Proportional to 3,522.78, 4,862.31 and 2,178.78

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Solution

The fourth proportional to 3,522.78, 4,862.31 and 2,178.78 is: 3,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.78 : 4,862.31 = 2,178.78 : x
  2. Step 2: Convert to fraction form
    3,522.78/4,862.31 = 2,178.78/x
  3. Step 3: Cross multiply
    3,522.78x = 4,862.31 × 2,178.78
  4. Step 4: Simplify right side
    3,522.78x = 10,593,903.78
  5. Step 5: Solve for x
    x = 10,593,903.78/3,522.78
  6. Step 6: Final answer
    x = 3,007.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.