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Finding the Fourth Proportional to 5,922.56, 8,882.04 and 2,459

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Solution

The fourth proportional to 5,922.56, 8,882.04 and 2,459 is: 3,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.56 : 8,882.04 = 2,459 : x
  2. Step 2: Convert to fraction form
    5,922.56/8,882.04 = 2,459/x
  3. Step 3: Cross multiply
    5,922.56x = 8,882.04 × 2,459
  4. Step 4: Simplify right side
    5,922.56x = 21,840,936.36
  5. Step 5: Solve for x
    x = 21,840,936.36/5,922.56
  6. Step 6: Final answer
    x = 3,687.75

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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.