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Finding the Fourth Proportional to 5,737.88, 7,918.28 and 3,349.50

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Solution

The fourth proportional to 5,737.88, 7,918.28 and 3,349.50 is: 4,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.88 : 7,918.28 = 3,349.50 : x
  2. Step 2: Convert to fraction form
    5,737.88/7,918.28 = 3,349.50/x
  3. Step 3: Cross multiply
    5,737.88x = 7,918.28 × 3,349.50
  4. Step 4: Simplify right side
    5,737.88x = 26,522,278.86
  5. Step 5: Solve for x
    x = 26,522,278.86/5,737.88
  6. Step 6: Final answer
    x = 4,622.31

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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.