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Finding the Fourth Proportional to 3,452.50, 5,179.38 and 3,139.50

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Solution

The fourth proportional to 3,452.50, 5,179.38 and 3,139.50 is: 4,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.50 : 5,179.38 = 3,139.50 : x
  2. Step 2: Convert to fraction form
    3,452.50/5,179.38 = 3,139.50/x
  3. Step 3: Cross multiply
    3,452.50x = 5,179.38 × 3,139.50
  4. Step 4: Simplify right side
    3,452.50x = 16,260,663.51
  5. Step 5: Solve for x
    x = 16,260,663.51/3,452.50
  6. Step 6: Final answer
    x = 4,709.82

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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.