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Finding the Fourth Proportional to 5,914.69, 8,872.49 and 3,449.76

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Solution

The fourth proportional to 5,914.69, 8,872.49 and 3,449.76 is: 5,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.69 : 8,872.49 = 3,449.76 : x
  2. Step 2: Convert to fraction form
    5,914.69/8,872.49 = 3,449.76/x
  3. Step 3: Cross multiply
    5,914.69x = 8,872.49 × 3,449.76
  4. Step 4: Simplify right side
    5,914.69x = 30,607,961.10
  5. Step 5: Solve for x
    x = 30,607,961.10/5,914.69
  6. Step 6: Final answer
    x = 5,174.91

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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.