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Finding the Fourth Proportional to 3,754.12, 5,180.70 and 2,098.12

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Solution

The fourth proportional to 3,754.12, 5,180.70 and 2,098.12 is: 2,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.12 : 5,180.70 = 2,098.12 : x
  2. Step 2: Convert to fraction form
    3,754.12/5,180.70 = 2,098.12/x
  3. Step 3: Cross multiply
    3,754.12x = 5,180.70 × 2,098.12
  4. Step 4: Simplify right side
    3,754.12x = 10,869,730.28
  5. Step 5: Solve for x
    x = 10,869,730.28/3,754.12
  6. Step 6: Final answer
    x = 2,895.41

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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.