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Finding the Fourth Proportional to 5,766.24, 7,957.49 and 3,408.38

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Solution

The fourth proportional to 5,766.24, 7,957.49 and 3,408.38 is: 4,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.24 : 7,957.49 = 3,408.38 : x
  2. Step 2: Convert to fraction form
    5,766.24/7,957.49 = 3,408.38/x
  3. Step 3: Cross multiply
    5,766.24x = 7,957.49 × 3,408.38
  4. Step 4: Simplify right side
    5,766.24x = 27,122,141.95
  5. Step 5: Solve for x
    x = 27,122,141.95/5,766.24
  6. Step 6: Final answer
    x = 4,703.61

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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.