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Finding the Fourth Proportional to 3,967.98, 5,951.96 and 1,046.51

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Solution

The fourth proportional to 3,967.98, 5,951.96 and 1,046.51 is: 1,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.98 : 5,951.96 = 1,046.51 : x
  2. Step 2: Convert to fraction form
    3,967.98/5,951.96 = 1,046.51/x
  3. Step 3: Cross multiply
    3,967.98x = 5,951.96 × 1,046.51
  4. Step 4: Simplify right side
    3,967.98x = 6,228,785.66
  5. Step 5: Solve for x
    x = 6,228,785.66/3,967.98
  6. Step 6: Final answer
    x = 1,569.76

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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.