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Finding the Fourth Proportional to 5,544.38, 7,640.68 and 3,969.74

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Solution

The fourth proportional to 5,544.38, 7,640.68 and 3,969.74 is: 5,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.38 : 7,640.68 = 3,969.74 : x
  2. Step 2: Convert to fraction form
    5,544.38/7,640.68 = 3,969.74/x
  3. Step 3: Cross multiply
    5,544.38x = 7,640.68 × 3,969.74
  4. Step 4: Simplify right side
    5,544.38x = 30,331,513.02
  5. Step 5: Solve for x
    x = 30,331,513.02/5,544.38
  6. Step 6: Final answer
    x = 5,470.68

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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.