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Finding the Fourth Proportional to 3,754, 5,180.55 and 2,098

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Solution

The fourth proportional to 3,754, 5,180.55 and 2,098 is: 2,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,180.55 = 2,098 : x
  2. Step 2: Convert to fraction form
    3,754/5,180.55 = 2,098/x
  3. Step 3: Cross multiply
    3,754x = 5,180.55 × 2,098
  4. Step 4: Simplify right side
    3,754x = 10,868,793.90
  5. Step 5: Solve for x
    x = 10,868,793.90/3,754
  6. Step 6: Final answer
    x = 2,895.26

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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.