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Finding the Fourth Proportional to 4,972.54, 6,862.12 and 2,734.56

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Solution

The fourth proportional to 4,972.54, 6,862.12 and 2,734.56 is: 3,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.54 : 6,862.12 = 2,734.56 : x
  2. Step 2: Convert to fraction form
    4,972.54/6,862.12 = 2,734.56/x
  3. Step 3: Cross multiply
    4,972.54x = 6,862.12 × 2,734.56
  4. Step 4: Simplify right side
    4,972.54x = 18,764,844.56
  5. Step 5: Solve for x
    x = 18,764,844.56/4,972.54
  6. Step 6: Final answer
    x = 3,773.70

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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.