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Finding the Fourth Proportional to 5,738.87, 7,920.76 and 3,349.12

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Solution

The fourth proportional to 5,738.87, 7,920.76 and 3,349.12 is: 4,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.87 : 7,920.76 = 3,349.12 : x
  2. Step 2: Convert to fraction form
    5,738.87/7,920.76 = 3,349.12/x
  3. Step 3: Cross multiply
    5,738.87x = 7,920.76 × 3,349.12
  4. Step 4: Simplify right side
    5,738.87x = 26,527,575.73
  5. Step 5: Solve for x
    x = 26,527,575.73/5,738.87
  6. Step 6: Final answer
    x = 4,622.44

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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.