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Finding the Fourth Proportional to 8,057.40, 12,080.87 and 3,380.42

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Solution

The fourth proportional to 8,057.40, 12,080.87 and 3,380.42 is: 5,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.40 : 12,080.87 = 3,380.42 : x
  2. Step 2: Convert to fraction form
    8,057.40/12,080.87 = 3,380.42/x
  3. Step 3: Cross multiply
    8,057.40x = 12,080.87 × 3,380.42
  4. Step 4: Simplify right side
    8,057.40x = 40,838,337.26
  5. Step 5: Solve for x
    x = 40,838,337.26/8,057.40
  6. Step 6: Final answer
    x = 5,068.43

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1.5x scale

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.