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Finding the Fourth Proportional to 3,537.61, 4,882.44 and 2,546.17

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Solution

The fourth proportional to 3,537.61, 4,882.44 and 2,546.17 is: 3,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.61 : 4,882.44 = 2,546.17 : x
  2. Step 2: Convert to fraction form
    3,537.61/4,882.44 = 2,546.17/x
  3. Step 3: Cross multiply
    3,537.61x = 4,882.44 × 2,546.17
  4. Step 4: Simplify right side
    3,537.61x = 12,431,522.25
  5. Step 5: Solve for x
    x = 12,431,522.25/3,537.61
  6. Step 6: Final answer
    x = 3,514.10

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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.