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Finding the Fourth Proportional to 3,895.25, 5,375.45 and 2,498

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Solution

The fourth proportional to 3,895.25, 5,375.45 and 2,498 is: 3,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.25 : 5,375.45 = 2,498 : x
  2. Step 2: Convert to fraction form
    3,895.25/5,375.45 = 2,498/x
  3. Step 3: Cross multiply
    3,895.25x = 5,375.45 × 2,498
  4. Step 4: Simplify right side
    3,895.25x = 13,427,874.10
  5. Step 5: Solve for x
    x = 13,427,874.10/3,895.25
  6. Step 6: Final answer
    x = 3,447.24

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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.