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Finding the Fourth Proportional to 8,031.40, 12,049.20 and 3,101.20

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Solution

The fourth proportional to 8,031.40, 12,049.20 and 3,101.20 is: 4,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.40 : 12,049.20 = 3,101.20 : x
  2. Step 2: Convert to fraction form
    8,031.40/12,049.20 = 3,101.20/x
  3. Step 3: Cross multiply
    8,031.40x = 12,049.20 × 3,101.20
  4. Step 4: Simplify right side
    8,031.40x = 37,366,979.04
  5. Step 5: Solve for x
    x = 37,366,979.04/8,031.40
  6. Step 6: Final answer
    x = 4,652.61

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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.