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Finding the Fourth Proportional to 4,993.29, 7,487.51 and 2,394

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Solution

The fourth proportional to 4,993.29, 7,487.51 and 2,394 is: 3,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.29 : 7,487.51 = 2,394 : x
  2. Step 2: Convert to fraction form
    4,993.29/7,487.51 = 2,394/x
  3. Step 3: Cross multiply
    4,993.29x = 7,487.51 × 2,394
  4. Step 4: Simplify right side
    4,993.29x = 17,925,086.97
  5. Step 5: Solve for x
    x = 17,925,086.97/4,993.29
  6. Step 6: Final answer
    x = 3,589.83

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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.