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Finding the Fourth Proportional to 5,778.44, 7,974.24 and 3,125.84

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Solution

The fourth proportional to 5,778.44, 7,974.24 and 3,125.84 is: 4,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.44 : 7,974.24 = 3,125.84 : x
  2. Step 2: Convert to fraction form
    5,778.44/7,974.24 = 3,125.84/x
  3. Step 3: Cross multiply
    5,778.44x = 7,974.24 × 3,125.84
  4. Step 4: Simplify right side
    5,778.44x = 24,926,182.73
  5. Step 5: Solve for x
    x = 24,926,182.73/5,778.44
  6. Step 6: Final answer
    x = 4,313.65

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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.