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Finding the Fourth Proportional to 8,159.46, 12,239.24 and 2,965.20

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Solution

The fourth proportional to 8,159.46, 12,239.24 and 2,965.20 is: 4,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.46 : 12,239.24 = 2,965.20 : x
  2. Step 2: Convert to fraction form
    8,159.46/12,239.24 = 2,965.20/x
  3. Step 3: Cross multiply
    8,159.46x = 12,239.24 × 2,965.20
  4. Step 4: Simplify right side
    8,159.46x = 36,291,779.62
  5. Step 5: Solve for x
    x = 36,291,779.62/8,159.46
  6. Step 6: Final answer
    x = 4,447.82

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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.