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Finding the Fourth Proportional to 3,653.75, 5,042.18 and 1,997.75

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Solution

The fourth proportional to 3,653.75, 5,042.18 and 1,997.75 is: 2,756.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.75 : 5,042.18 = 1,997.75 : x
  2. Step 2: Convert to fraction form
    3,653.75/5,042.18 = 1,997.75/x
  3. Step 3: Cross multiply
    3,653.75x = 5,042.18 × 1,997.75
  4. Step 4: Simplify right side
    3,653.75x = 10,073,005.11
  5. Step 5: Solve for x
    x = 10,073,005.11/3,653.75
  6. Step 6: Final answer
    x = 2,756.90

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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.