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Finding the Fourth Proportional to 5,569.16, 8,353.82 and 2,279.96

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Solution

The fourth proportional to 5,569.16, 8,353.82 and 2,279.96 is: 3,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.16 : 8,353.82 = 2,279.96 : x
  2. Step 2: Convert to fraction form
    5,569.16/8,353.82 = 2,279.96/x
  3. Step 3: Cross multiply
    5,569.16x = 8,353.82 × 2,279.96
  4. Step 4: Simplify right side
    5,569.16x = 19,046,375.45
  5. Step 5: Solve for x
    x = 19,046,375.45/5,569.16
  6. Step 6: Final answer
    x = 3,419.97

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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.