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Finding the Fourth Proportional to 5,679.83, 7,838.38 and 3,440.43

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Solution

The fourth proportional to 5,679.83, 7,838.38 and 3,440.43 is: 4,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.83 : 7,838.38 = 3,440.43 : x
  2. Step 2: Convert to fraction form
    5,679.83/7,838.38 = 3,440.43/x
  3. Step 3: Cross multiply
    5,679.83x = 7,838.38 × 3,440.43
  4. Step 4: Simplify right side
    5,679.83x = 26,967,397.70
  5. Step 5: Solve for x
    x = 26,967,397.70/5,679.83
  6. Step 6: Final answer
    x = 4,747.92

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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.