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Finding the Fourth Proportional to 3,238.87, 4,471.16 and 2,119.85

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Solution

The fourth proportional to 3,238.87, 4,471.16 and 2,119.85 is: 2,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.87 : 4,471.16 = 2,119.85 : x
  2. Step 2: Convert to fraction form
    3,238.87/4,471.16 = 2,119.85/x
  3. Step 3: Cross multiply
    3,238.87x = 4,471.16 × 2,119.85
  4. Step 4: Simplify right side
    3,238.87x = 9,478,188.53
  5. Step 5: Solve for x
    x = 9,478,188.53/3,238.87
  6. Step 6: Final answer
    x = 2,926.39

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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.