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Finding the Fourth Proportional to 3,442.71, 5,162.99 and 1,494.39

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Solution

The fourth proportional to 3,442.71, 5,162.99 and 1,494.39 is: 2,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.71 : 5,162.99 = 1,494.39 : x
  2. Step 2: Convert to fraction form
    3,442.71/5,162.99 = 1,494.39/x
  3. Step 3: Cross multiply
    3,442.71x = 5,162.99 × 1,494.39
  4. Step 4: Simplify right side
    3,442.71x = 7,715,513.15
  5. Step 5: Solve for x
    x = 7,715,513.15/3,442.71
  6. Step 6: Final answer
    x = 2,241.12

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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.