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Finding the Fourth Proportional to 5,737.78, 7,917.51 and 3,584.26

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Solution

The fourth proportional to 5,737.78, 7,917.51 and 3,584.26 is: 4,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.78 : 7,917.51 = 3,584.26 : x
  2. Step 2: Convert to fraction form
    5,737.78/7,917.51 = 3,584.26/x
  3. Step 3: Cross multiply
    5,737.78x = 7,917.51 × 3,584.26
  4. Step 4: Simplify right side
    5,737.78x = 28,378,414.39
  5. Step 5: Solve for x
    x = 28,378,414.39/5,737.78
  6. Step 6: Final answer
    x = 4,945.89

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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.