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Finding the Fourth Proportional to 4,508.76, 6,761.91 and 2,167.14

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Solution

The fourth proportional to 4,508.76, 6,761.91 and 2,167.14 is: 3,250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.76 : 6,761.91 = 2,167.14 : x
  2. Step 2: Convert to fraction form
    4,508.76/6,761.91 = 2,167.14/x
  3. Step 3: Cross multiply
    4,508.76x = 6,761.91 × 2,167.14
  4. Step 4: Simplify right side
    4,508.76x = 14,654,005.64
  5. Step 5: Solve for x
    x = 14,654,005.64/4,508.76
  6. Step 6: Final answer
    x = 3,250.12

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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.