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Finding the Fourth Proportional to 5,761.44, 7,946.28 and 4,438.80

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Solution

The fourth proportional to 5,761.44, 7,946.28 and 4,438.80 is: 6,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.44 : 7,946.28 = 4,438.80 : x
  2. Step 2: Convert to fraction form
    5,761.44/7,946.28 = 4,438.80/x
  3. Step 3: Cross multiply
    5,761.44x = 7,946.28 × 4,438.80
  4. Step 4: Simplify right side
    5,761.44x = 35,271,947.66
  5. Step 5: Solve for x
    x = 35,271,947.66/5,761.44
  6. Step 6: Final answer
    x = 6,122.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.