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Finding the Fourth Proportional to 3,600.68, 5,390.22 and 2,561

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Solution

The fourth proportional to 3,600.68, 5,390.22 and 2,561 is: 3,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.68 : 5,390.22 = 2,561 : x
  2. Step 2: Convert to fraction form
    3,600.68/5,390.22 = 2,561/x
  3. Step 3: Cross multiply
    3,600.68x = 5,390.22 × 2,561
  4. Step 4: Simplify right side
    3,600.68x = 13,804,353.42
  5. Step 5: Solve for x
    x = 13,804,353.42/3,600.68
  6. Step 6: Final answer
    x = 3,833.82

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