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Finding the Fourth Proportional to 3,882.96, 5,354.87 and 2,554.36

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Solution

The fourth proportional to 3,882.96, 5,354.87 and 2,554.36 is: 3,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.96 : 5,354.87 = 2,554.36 : x
  2. Step 2: Convert to fraction form
    3,882.96/5,354.87 = 2,554.36/x
  3. Step 3: Cross multiply
    3,882.96x = 5,354.87 × 2,554.36
  4. Step 4: Simplify right side
    3,882.96x = 13,678,239.57
  5. Step 5: Solve for x
    x = 13,678,239.57/3,882.96
  6. Step 6: Final answer
    x = 3,522.63

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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.