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Finding the Fourth Proportional to 5,821.92, 8,731.17 and 2,534.22

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Solution

The fourth proportional to 5,821.92, 8,731.17 and 2,534.22 is: 3,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.92 : 8,731.17 = 2,534.22 : x
  2. Step 2: Convert to fraction form
    5,821.92/8,731.17 = 2,534.22/x
  3. Step 3: Cross multiply
    5,821.92x = 8,731.17 × 2,534.22
  4. Step 4: Simplify right side
    5,821.92x = 22,126,705.64
  5. Step 5: Solve for x
    x = 22,126,705.64/5,821.92
  6. Step 6: Final answer
    x = 3,800.59

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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.