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Finding the Fourth Proportional to 3,979.53, 5,970.12 and 1,514.28

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Solution

The fourth proportional to 3,979.53, 5,970.12 and 1,514.28 is: 2,271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.53 : 5,970.12 = 1,514.28 : x
  2. Step 2: Convert to fraction form
    3,979.53/5,970.12 = 1,514.28/x
  3. Step 3: Cross multiply
    3,979.53x = 5,970.12 × 1,514.28
  4. Step 4: Simplify right side
    3,979.53x = 9,040,433.31
  5. Step 5: Solve for x
    x = 9,040,433.31/3,979.53
  6. Step 6: Final answer
    x = 2,271.73

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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.