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Finding the Fourth Proportional to 3,967.89, 5,952.44 and 1,046.42

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Solution

The fourth proportional to 3,967.89, 5,952.44 and 1,046.42 is: 1,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.89 : 5,952.44 = 1,046.42 : x
  2. Step 2: Convert to fraction form
    3,967.89/5,952.44 = 1,046.42/x
  3. Step 3: Cross multiply
    3,967.89x = 5,952.44 × 1,046.42
  4. Step 4: Simplify right side
    3,967.89x = 6,228,752.26
  5. Step 5: Solve for x
    x = 6,228,752.26/3,967.89
  6. Step 6: Final answer
    x = 1,569.79

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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.