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Finding the Fourth Proportional to 3,951.01, 5,926.97 and 1,029.57

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Solution

The fourth proportional to 3,951.01, 5,926.97 and 1,029.57 is: 1,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.01 : 5,926.97 = 1,029.57 : x
  2. Step 2: Convert to fraction form
    3,951.01/5,926.97 = 1,029.57/x
  3. Step 3: Cross multiply
    3,951.01x = 5,926.97 × 1,029.57
  4. Step 4: Simplify right side
    3,951.01x = 6,102,230.50
  5. Step 5: Solve for x
    x = 6,102,230.50/3,951.01
  6. Step 6: Final answer
    x = 1,544.47

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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.