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Finding the Fourth Proportional to 3,188.92, 4,398.96 and 2,349.76

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Solution

The fourth proportional to 3,188.92, 4,398.96 and 2,349.76 is: 3,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.92 : 4,398.96 = 2,349.76 : x
  2. Step 2: Convert to fraction form
    3,188.92/4,398.96 = 2,349.76/x
  3. Step 3: Cross multiply
    3,188.92x = 4,398.96 × 2,349.76
  4. Step 4: Simplify right side
    3,188.92x = 10,336,500.25
  5. Step 5: Solve for x
    x = 10,336,500.25/3,188.92
  6. Step 6: Final answer
    x = 3,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.