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Finding the Fourth Proportional to 3,614.68, 4,989 and 2,123.38

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Solution

The fourth proportional to 3,614.68, 4,989 and 2,123.38 is: 2,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.68 : 4,989 = 2,123.38 : x
  2. Step 2: Convert to fraction form
    3,614.68/4,989 = 2,123.38/x
  3. Step 3: Cross multiply
    3,614.68x = 4,989 × 2,123.38
  4. Step 4: Simplify right side
    3,614.68x = 10,593,542.82
  5. Step 5: Solve for x
    x = 10,593,542.82/3,614.68
  6. Step 6: Final answer
    x = 2,930.70

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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.