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Finding the Fourth Proportional to 5,251.32, 7,867.71 and 4,679.28

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Solution

The fourth proportional to 5,251.32, 7,867.71 and 4,679.28 is: 7,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.32 : 7,867.71 = 4,679.28 : x
  2. Step 2: Convert to fraction form
    5,251.32/7,867.71 = 4,679.28/x
  3. Step 3: Cross multiply
    5,251.32x = 7,867.71 × 4,679.28
  4. Step 4: Simplify right side
    5,251.32x = 36,815,218.05
  5. Step 5: Solve for x
    x = 36,815,218.05/5,251.32
  6. Step 6: Final answer
    x = 7,010.66

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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.