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Finding the Fourth Proportional to 4,644.44, 6,406.49 and 2,754.76

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Solution

The fourth proportional to 4,644.44, 6,406.49 and 2,754.76 is: 3,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.44 : 6,406.49 = 2,754.76 : x
  2. Step 2: Convert to fraction form
    4,644.44/6,406.49 = 2,754.76/x
  3. Step 3: Cross multiply
    4,644.44x = 6,406.49 × 2,754.76
  4. Step 4: Simplify right side
    4,644.44x = 17,648,309.78
  5. Step 5: Solve for x
    x = 17,648,309.78/4,644.44
  6. Step 6: Final answer
    x = 3,799.88

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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.