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Finding the Fourth Proportional to 3,951.44, 5,926.72 and 1,029.76

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Solution

The fourth proportional to 3,951.44, 5,926.72 and 1,029.76 is: 1,544.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.44 : 5,926.72 = 1,029.76 : x
  2. Step 2: Convert to fraction form
    3,951.44/5,926.72 = 1,029.76/x
  3. Step 3: Cross multiply
    3,951.44x = 5,926.72 × 1,029.76
  4. Step 4: Simplify right side
    3,951.44x = 6,103,099.19
  5. Step 5: Solve for x
    x = 6,103,099.19/3,951.44
  6. Step 6: Final answer
    x = 1,544.53

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1.5x scale

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.