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Finding the Fourth Proportional to 4,882.56, 6,737.92 and 2,644.44

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Solution

The fourth proportional to 4,882.56, 6,737.92 and 2,644.44 is: 3,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.56 : 6,737.92 = 2,644.44 : x
  2. Step 2: Convert to fraction form
    4,882.56/6,737.92 = 2,644.44/x
  3. Step 3: Cross multiply
    4,882.56x = 6,737.92 × 2,644.44
  4. Step 4: Simplify right side
    4,882.56x = 17,818,025.16
  5. Step 5: Solve for x
    x = 17,818,025.16/4,882.56
  6. Step 6: Final answer
    x = 3,649.32

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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.