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Finding the Fourth Proportional to 3,922.52, 5,408.16 and 2,872.76

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Solution

The fourth proportional to 3,922.52, 5,408.16 and 2,872.76 is: 3,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.52 : 5,408.16 = 2,872.76 : x
  2. Step 2: Convert to fraction form
    3,922.52/5,408.16 = 2,872.76/x
  3. Step 3: Cross multiply
    3,922.52x = 5,408.16 × 2,872.76
  4. Step 4: Simplify right side
    3,922.52x = 15,536,345.72
  5. Step 5: Solve for x
    x = 15,536,345.72/3,922.52
  6. Step 6: Final answer
    x = 3,960.81

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