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Finding the Fourth Proportional to 6,781.89, 9,358.67 and 3,756.85

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Solution

The fourth proportional to 6,781.89, 9,358.67 and 3,756.85 is: 5,184.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.89 : 9,358.67 = 3,756.85 : x
  2. Step 2: Convert to fraction form
    6,781.89/9,358.67 = 3,756.85/x
  3. Step 3: Cross multiply
    6,781.89x = 9,358.67 × 3,756.85
  4. Step 4: Simplify right side
    6,781.89x = 35,159,105.38
  5. Step 5: Solve for x
    x = 35,159,105.38/6,781.89
  6. Step 6: Final answer
    x = 5,184.26

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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.