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Finding the Fourth Proportional to 5,562.84, 8,344.26 and 2,275.14

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Solution

The fourth proportional to 5,562.84, 8,344.26 and 2,275.14 is: 3,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.84 : 8,344.26 = 2,275.14 : x
  2. Step 2: Convert to fraction form
    5,562.84/8,344.26 = 2,275.14/x
  3. Step 3: Cross multiply
    5,562.84x = 8,344.26 × 2,275.14
  4. Step 4: Simplify right side
    5,562.84x = 18,984,359.70
  5. Step 5: Solve for x
    x = 18,984,359.70/5,562.84
  6. Step 6: Final answer
    x = 3,412.71

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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.