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Finding the Fourth Proportional to 3,711, 5,121.04 and 2,218.56

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Solution

The fourth proportional to 3,711, 5,121.04 and 2,218.56 is: 3,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711 : 5,121.04 = 2,218.56 : x
  2. Step 2: Convert to fraction form
    3,711/5,121.04 = 2,218.56/x
  3. Step 3: Cross multiply
    3,711x = 5,121.04 × 2,218.56
  4. Step 4: Simplify right side
    3,711x = 11,361,334.50
  5. Step 5: Solve for x
    x = 11,361,334.50/3,711
  6. Step 6: Final answer
    x = 3,061.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.