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Finding the Fourth Proportional to 3,468.52, 5,202.78 and 2,006.88

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Solution

The fourth proportional to 3,468.52, 5,202.78 and 2,006.88 is: 3,010.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.52 : 5,202.78 = 2,006.88 : x
  2. Step 2: Convert to fraction form
    3,468.52/5,202.78 = 2,006.88/x
  3. Step 3: Cross multiply
    3,468.52x = 5,202.78 × 2,006.88
  4. Step 4: Simplify right side
    3,468.52x = 10,441,339.38
  5. Step 5: Solve for x
    x = 10,441,339.38/3,468.52
  6. Step 6: Final answer
    x = 3,010.31

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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.