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Finding the Fourth Proportional to 4,868.38, 6,711.37 and 3,468.70

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Solution

The fourth proportional to 4,868.38, 6,711.37 and 3,468.70 is: 4,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.38 : 6,711.37 = 3,468.70 : x
  2. Step 2: Convert to fraction form
    4,868.38/6,711.37 = 3,468.70/x
  3. Step 3: Cross multiply
    4,868.38x = 6,711.37 × 3,468.70
  4. Step 4: Simplify right side
    4,868.38x = 23,279,703.67
  5. Step 5: Solve for x
    x = 23,279,703.67/4,868.38
  6. Step 6: Final answer
    x = 4,781.82

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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.