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Finding the Fourth Proportional to 5,250.44, 7,878.41 and 4,947.91

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Solution

The fourth proportional to 5,250.44, 7,878.41 and 4,947.91 is: 7,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.44 : 7,878.41 = 4,947.91 : x
  2. Step 2: Convert to fraction form
    5,250.44/7,878.41 = 4,947.91/x
  3. Step 3: Cross multiply
    5,250.44x = 7,878.41 × 4,947.91
  4. Step 4: Simplify right side
    5,250.44x = 38,981,599.49
  5. Step 5: Solve for x
    x = 38,981,599.49/5,250.44
  6. Step 6: Final answer
    x = 7,424.44

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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.