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Finding the Fourth Proportional to 3,471.90, 5,213.12 and 3,032.88

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Solution

The fourth proportional to 3,471.90, 5,213.12 and 3,032.88 is: 4,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.90 : 5,213.12 = 3,032.88 : x
  2. Step 2: Convert to fraction form
    3,471.90/5,213.12 = 3,032.88/x
  3. Step 3: Cross multiply
    3,471.90x = 5,213.12 × 3,032.88
  4. Step 4: Simplify right side
    3,471.90x = 15,810,752.22
  5. Step 5: Solve for x
    x = 15,810,752.22/3,471.90
  6. Step 6: Final answer
    x = 4,553.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.