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Finding the Fourth Proportional to 6,310.38, 8,711.88 and 4,188.78

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Solution

The fourth proportional to 6,310.38, 8,711.88 and 4,188.78 is: 5,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.38 : 8,711.88 = 4,188.78 : x
  2. Step 2: Convert to fraction form
    6,310.38/8,711.88 = 4,188.78/x
  3. Step 3: Cross multiply
    6,310.38x = 8,711.88 × 4,188.78
  4. Step 4: Simplify right side
    6,310.38x = 36,492,148.71
  5. Step 5: Solve for x
    x = 36,492,148.71/6,310.38
  6. Step 6: Final answer
    x = 5,782.88

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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.