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Finding the Fourth Proportional to 3,872.25, 5,345.92 and 2,549.80

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Solution

The fourth proportional to 3,872.25, 5,345.92 and 2,549.80 is: 3,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.25 : 5,345.92 = 2,549.80 : x
  2. Step 2: Convert to fraction form
    3,872.25/5,345.92 = 2,549.80/x
  3. Step 3: Cross multiply
    3,872.25x = 5,345.92 × 2,549.80
  4. Step 4: Simplify right side
    3,872.25x = 13,631,026.82
  5. Step 5: Solve for x
    x = 13,631,026.82/3,872.25
  6. Step 6: Final answer
    x = 3,520.18

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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.