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Finding the Fourth Proportional to 5,331.96, 8,003.52 and 2,561

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Solution

The fourth proportional to 5,331.96, 8,003.52 and 2,561 is: 3,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.96 : 8,003.52 = 2,561 : x
  2. Step 2: Convert to fraction form
    5,331.96/8,003.52 = 2,561/x
  3. Step 3: Cross multiply
    5,331.96x = 8,003.52 × 2,561
  4. Step 4: Simplify right side
    5,331.96x = 20,497,014.72
  5. Step 5: Solve for x
    x = 20,497,014.72/5,331.96
  6. Step 6: Final answer
    x = 3,844.18

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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.