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Finding the Fourth Proportional to 3,967.82, 5,952.07 and 1,046.12

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Solution

The fourth proportional to 3,967.82, 5,952.07 and 1,046.12 is: 1,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.82 : 5,952.07 = 1,046.12 : x
  2. Step 2: Convert to fraction form
    3,967.82/5,952.07 = 1,046.12/x
  3. Step 3: Cross multiply
    3,967.82x = 5,952.07 × 1,046.12
  4. Step 4: Simplify right side
    3,967.82x = 6,226,579.47
  5. Step 5: Solve for x
    x = 6,226,579.47/3,967.82
  6. Step 6: Final answer
    x = 1,569.27

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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.