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Finding the Fourth Proportional to 3,424.38, 4,725.65 and 2,007.78

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Solution

The fourth proportional to 3,424.38, 4,725.65 and 2,007.78 is: 2,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.38 : 4,725.65 = 2,007.78 : x
  2. Step 2: Convert to fraction form
    3,424.38/4,725.65 = 2,007.78/x
  3. Step 3: Cross multiply
    3,424.38x = 4,725.65 × 2,007.78
  4. Step 4: Simplify right side
    3,424.38x = 9,488,055.52
  5. Step 5: Solve for x
    x = 9,488,055.52/3,424.38
  6. Step 6: Final answer
    x = 2,770.74

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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.