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Finding the Fourth Proportional to 5,274, 7,278.24 and 3,414.24

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Solution

The fourth proportional to 5,274, 7,278.24 and 3,414.24 is: 4,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274 : 7,278.24 = 3,414.24 : x
  2. Step 2: Convert to fraction form
    5,274/7,278.24 = 3,414.24/x
  3. Step 3: Cross multiply
    5,274x = 7,278.24 × 3,414.24
  4. Step 4: Simplify right side
    5,274x = 24,849,658.14
  5. Step 5: Solve for x
    x = 24,849,658.14/5,274
  6. Step 6: Final answer
    x = 4,711.73

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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.