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Finding the Fourth Proportional to 3,753.50, 5,179.83 and 2,097.50

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Solution

The fourth proportional to 3,753.50, 5,179.83 and 2,097.50 is: 2,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.50 : 5,179.83 = 2,097.50 : x
  2. Step 2: Convert to fraction form
    3,753.50/5,179.83 = 2,097.50/x
  3. Step 3: Cross multiply
    3,753.50x = 5,179.83 × 2,097.50
  4. Step 4: Simplify right side
    3,753.50x = 10,864,693.43
  5. Step 5: Solve for x
    x = 10,864,693.43/3,753.50
  6. Step 6: Final answer
    x = 2,894.55

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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.