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Finding the Fourth Proportional to 3,979.38, 5,967.12 and 1,205.52

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Solution

The fourth proportional to 3,979.38, 5,967.12 and 1,205.52 is: 1,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.38 : 5,967.12 = 1,205.52 : x
  2. Step 2: Convert to fraction form
    3,979.38/5,967.12 = 1,205.52/x
  3. Step 3: Cross multiply
    3,979.38x = 5,967.12 × 1,205.52
  4. Step 4: Simplify right side
    3,979.38x = 7,193,482.50
  5. Step 5: Solve for x
    x = 7,193,482.50/3,979.38
  6. Step 6: Final answer
    x = 1,807.69

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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.