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Finding the Fourth Proportional to 5,737.72, 7,918.38 and 4,338.04

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Solution

The fourth proportional to 5,737.72, 7,918.38 and 4,338.04 is: 5,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.72 : 7,918.38 = 4,338.04 : x
  2. Step 2: Convert to fraction form
    5,737.72/7,918.38 = 4,338.04/x
  3. Step 3: Cross multiply
    5,737.72x = 7,918.38 × 4,338.04
  4. Step 4: Simplify right side
    5,737.72x = 34,350,249.18
  5. Step 5: Solve for x
    x = 34,350,249.18/5,737.72
  6. Step 6: Final answer
    x = 5,986.74

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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.