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Finding the Fourth Proportional to 3,468, 5,200.20 and 3,073.68

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Solution

The fourth proportional to 3,468, 5,200.20 and 3,073.68 is: 4,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468 : 5,200.20 = 3,073.68 : x
  2. Step 2: Convert to fraction form
    3,468/5,200.20 = 3,073.68/x
  3. Step 3: Cross multiply
    3,468x = 5,200.20 × 3,073.68
  4. Step 4: Simplify right side
    3,468x = 15,983,750.74
  5. Step 5: Solve for x
    x = 15,983,750.74/3,468
  6. Step 6: Final answer
    x = 4,608.92

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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.