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Finding the Fourth Proportional to 5,737.66, 7,917.65 and 3,219.54

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Solution

The fourth proportional to 5,737.66, 7,917.65 and 3,219.54 is: 4,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.66 : 7,917.65 = 3,219.54 : x
  2. Step 2: Convert to fraction form
    5,737.66/7,917.65 = 3,219.54/x
  3. Step 3: Cross multiply
    5,737.66x = 7,917.65 × 3,219.54
  4. Step 4: Simplify right side
    5,737.66x = 25,491,174.78
  5. Step 5: Solve for x
    x = 25,491,174.78/5,737.66
  6. Step 6: Final answer
    x = 4,442.78

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Why These Related Problems?

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