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Finding the Fourth Proportional to 4,713.50, 7,067.13 and 2,248.70

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Solution

The fourth proportional to 4,713.50, 7,067.13 and 2,248.70 is: 3,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.50 : 7,067.13 = 2,248.70 : x
  2. Step 2: Convert to fraction form
    4,713.50/7,067.13 = 2,248.70/x
  3. Step 3: Cross multiply
    4,713.50x = 7,067.13 × 2,248.70
  4. Step 4: Simplify right side
    4,713.50x = 15,891,855.23
  5. Step 5: Solve for x
    x = 15,891,855.23/4,713.50
  6. Step 6: Final answer
    x = 3,371.56

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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.