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Finding the Fourth Proportional to 3,920.56, 5,408.02 and 2,593.78

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Solution

The fourth proportional to 3,920.56, 5,408.02 and 2,593.78 is: 3,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.56 : 5,408.02 = 2,593.78 : x
  2. Step 2: Convert to fraction form
    3,920.56/5,408.02 = 2,593.78/x
  3. Step 3: Cross multiply
    3,920.56x = 5,408.02 × 2,593.78
  4. Step 4: Simplify right side
    3,920.56x = 14,027,214.12
  5. Step 5: Solve for x
    x = 14,027,214.12/3,920.56
  6. Step 6: Final answer
    x = 3,577.86

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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.