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Finding the Fourth Proportional to 5,414.70, 7,472.26 and 2,930.70

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Solution

The fourth proportional to 5,414.70, 7,472.26 and 2,930.70 is: 4,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.70 : 7,472.26 = 2,930.70 : x
  2. Step 2: Convert to fraction form
    5,414.70/7,472.26 = 2,930.70/x
  3. Step 3: Cross multiply
    5,414.70x = 7,472.26 × 2,930.70
  4. Step 4: Simplify right side
    5,414.70x = 21,898,952.38
  5. Step 5: Solve for x
    x = 21,898,952.38/5,414.70
  6. Step 6: Final answer
    x = 4,044.35

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1.5x scale

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.