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Finding the Fourth Proportional to 3,952.50, 5,929.90 and 1,179.24

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Solution

The fourth proportional to 3,952.50, 5,929.90 and 1,179.24 is: 1,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.50 : 5,929.90 = 1,179.24 : x
  2. Step 2: Convert to fraction form
    3,952.50/5,929.90 = 1,179.24/x
  3. Step 3: Cross multiply
    3,952.50x = 5,929.90 × 1,179.24
  4. Step 4: Simplify right side
    3,952.50x = 6,992,775.28
  5. Step 5: Solve for x
    x = 6,992,775.28/3,952.50
  6. Step 6: Final answer
    x = 1,769.20

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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.