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Finding the Fourth Proportional to 3,494.28, 5,241.42 and 2,949.96

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Solution

The fourth proportional to 3,494.28, 5,241.42 and 2,949.96 is: 4,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.28 : 5,241.42 = 2,949.96 : x
  2. Step 2: Convert to fraction form
    3,494.28/5,241.42 = 2,949.96/x
  3. Step 3: Cross multiply
    3,494.28x = 5,241.42 × 2,949.96
  4. Step 4: Simplify right side
    3,494.28x = 15,461,979.34
  5. Step 5: Solve for x
    x = 15,461,979.34/3,494.28
  6. Step 6: Final answer
    x = 4,424.94

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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.