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Finding the Fourth Proportional to 3,872.96, 5,345.52 and 2,546.79

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Solution

The fourth proportional to 3,872.96, 5,345.52 and 2,546.79 is: 3,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.96 : 5,345.52 = 2,546.79 : x
  2. Step 2: Convert to fraction form
    3,872.96/5,345.52 = 2,546.79/x
  3. Step 3: Cross multiply
    3,872.96x = 5,345.52 × 2,546.79
  4. Step 4: Simplify right side
    3,872.96x = 13,613,916.88
  5. Step 5: Solve for x
    x = 13,613,916.88/3,872.96
  6. Step 6: Final answer
    x = 3,515.12

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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.