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Finding the Fourth Proportional to 3,974.38, 5,465.19 and 3,449.50

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Solution

The fourth proportional to 3,974.38, 5,465.19 and 3,449.50 is: 4,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.38 : 5,465.19 = 3,449.50 : x
  2. Step 2: Convert to fraction form
    3,974.38/5,465.19 = 3,449.50/x
  3. Step 3: Cross multiply
    3,974.38x = 5,465.19 × 3,449.50
  4. Step 4: Simplify right side
    3,974.38x = 18,852,172.91
  5. Step 5: Solve for x
    x = 18,852,172.91/3,974.38
  6. Step 6: Final answer
    x = 4,743.42

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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.