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Finding the Fourth Proportional to 5,737.32, 7,917.82 and 4,318.46

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Solution

The fourth proportional to 5,737.32, 7,917.82 and 4,318.46 is: 5,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.32 : 7,917.82 = 4,318.46 : x
  2. Step 2: Convert to fraction form
    5,737.32/7,917.82 = 4,318.46/x
  3. Step 3: Cross multiply
    5,737.32x = 7,917.82 × 4,318.46
  4. Step 4: Simplify right side
    5,737.32x = 34,192,788.96
  5. Step 5: Solve for x
    x = 34,192,788.96/5,737.32
  6. Step 6: Final answer
    x = 5,959.71

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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.