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Finding the Fourth Proportional to 3,968.59, 5,952.90 and 1,046.82

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Solution

The fourth proportional to 3,968.59, 5,952.90 and 1,046.82 is: 1,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.59 : 5,952.90 = 1,046.82 : x
  2. Step 2: Convert to fraction form
    3,968.59/5,952.90 = 1,046.82/x
  3. Step 3: Cross multiply
    3,968.59x = 5,952.90 × 1,046.82
  4. Step 4: Simplify right side
    3,968.59x = 6,231,614.78
  5. Step 5: Solve for x
    x = 6,231,614.78/3,968.59
  6. Step 6: Final answer
    x = 1,570.23

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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.