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Finding the Fourth Proportional to 4,934.62, 7,401.48 and 2,471.11

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Solution

The fourth proportional to 4,934.62, 7,401.48 and 2,471.11 is: 3,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.62 : 7,401.48 = 2,471.11 : x
  2. Step 2: Convert to fraction form
    4,934.62/7,401.48 = 2,471.11/x
  3. Step 3: Cross multiply
    4,934.62x = 7,401.48 × 2,471.11
  4. Step 4: Simplify right side
    4,934.62x = 18,289,843.47
  5. Step 5: Solve for x
    x = 18,289,843.47/4,934.62
  6. Step 6: Final answer
    x = 3,706.43

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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.