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Finding the Fourth Proportional to 5,105.40, 7,658.10 and 2,507.80

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Solution

The fourth proportional to 5,105.40, 7,658.10 and 2,507.80 is: 3,761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.40 : 7,658.10 = 2,507.80 : x
  2. Step 2: Convert to fraction form
    5,105.40/7,658.10 = 2,507.80/x
  3. Step 3: Cross multiply
    5,105.40x = 7,658.10 × 2,507.80
  4. Step 4: Simplify right side
    5,105.40x = 19,204,983.18
  5. Step 5: Solve for x
    x = 19,204,983.18/5,105.40
  6. Step 6: Final answer
    x = 3,761.70

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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.