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Finding the Fourth Proportional to 3,967.94, 5,951.30 and 1,046.47

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Solution

The fourth proportional to 3,967.94, 5,951.30 and 1,046.47 is: 1,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.94 : 5,951.30 = 1,046.47 : x
  2. Step 2: Convert to fraction form
    3,967.94/5,951.30 = 1,046.47/x
  3. Step 3: Cross multiply
    3,967.94x = 5,951.30 × 1,046.47
  4. Step 4: Simplify right side
    3,967.94x = 6,227,836.80
  5. Step 5: Solve for x
    x = 6,227,836.80/3,967.94
  6. Step 6: Final answer
    x = 1,569.54

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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.