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Finding the Fourth Proportional to 3,158.31, 4,737.43 and 1,078.53

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Solution

The fourth proportional to 3,158.31, 4,737.43 and 1,078.53 is: 1,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.31 : 4,737.43 = 1,078.53 : x
  2. Step 2: Convert to fraction form
    3,158.31/4,737.43 = 1,078.53/x
  3. Step 3: Cross multiply
    3,158.31x = 4,737.43 × 1,078.53
  4. Step 4: Simplify right side
    3,158.31x = 5,109,460.38
  5. Step 5: Solve for x
    x = 5,109,460.38/3,158.31
  6. Step 6: Final answer
    x = 1,617.78

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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.