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Finding the Fourth Proportional to 4,991.16, 7,472.34 and 3,839.16

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Solution

The fourth proportional to 4,991.16, 7,472.34 and 3,839.16 is: 5,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.16 : 7,472.34 = 3,839.16 : x
  2. Step 2: Convert to fraction form
    4,991.16/7,472.34 = 3,839.16/x
  3. Step 3: Cross multiply
    4,991.16x = 7,472.34 × 3,839.16
  4. Step 4: Simplify right side
    4,991.16x = 28,687,508.83
  5. Step 5: Solve for x
    x = 28,687,508.83/4,991.16
  6. Step 6: Final answer
    x = 5,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.