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Finding the Fourth Proportional to 5,572.60, 7,691.76 and 3,448.46

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Solution

The fourth proportional to 5,572.60, 7,691.76 and 3,448.46 is: 4,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.60 : 7,691.76 = 3,448.46 : x
  2. Step 2: Convert to fraction form
    5,572.60/7,691.76 = 3,448.46/x
  3. Step 3: Cross multiply
    5,572.60x = 7,691.76 × 3,448.46
  4. Step 4: Simplify right side
    5,572.60x = 26,524,745.92
  5. Step 5: Solve for x
    x = 26,524,745.92/5,572.60
  6. Step 6: Final answer
    x = 4,759.85

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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.