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Finding the Fourth Proportional to 5,771.92, 7,963.48 and 3,531.46

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Solution

The fourth proportional to 5,771.92, 7,963.48 and 3,531.46 is: 4,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.92 : 7,963.48 = 3,531.46 : x
  2. Step 2: Convert to fraction form
    5,771.92/7,963.48 = 3,531.46/x
  3. Step 3: Cross multiply
    5,771.92x = 7,963.48 × 3,531.46
  4. Step 4: Simplify right side
    5,771.92x = 28,122,711.08
  5. Step 5: Solve for x
    x = 28,122,711.08/5,771.92
  6. Step 6: Final answer
    x = 4,872.33

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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.