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Finding the Fourth Proportional to 5,737.62, 7,919.03 and 3,347.87

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Solution

The fourth proportional to 5,737.62, 7,919.03 and 3,347.87 is: 4,620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.62 : 7,919.03 = 3,347.87 : x
  2. Step 2: Convert to fraction form
    5,737.62/7,919.03 = 3,347.87/x
  3. Step 3: Cross multiply
    5,737.62x = 7,919.03 × 3,347.87
  4. Step 4: Simplify right side
    5,737.62x = 26,511,911.13
  5. Step 5: Solve for x
    x = 26,511,911.13/5,737.62
  6. Step 6: Final answer
    x = 4,620.72

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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.