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Finding the Fourth Proportional to 5,097.85, 7,035.05 and 2,974.84

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Solution

The fourth proportional to 5,097.85, 7,035.05 and 2,974.84 is: 4,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.85 : 7,035.05 = 2,974.84 : x
  2. Step 2: Convert to fraction form
    5,097.85/7,035.05 = 2,974.84/x
  3. Step 3: Cross multiply
    5,097.85x = 7,035.05 × 2,974.84
  4. Step 4: Simplify right side
    5,097.85x = 20,928,115.68
  5. Step 5: Solve for x
    x = 20,928,115.68/5,097.85
  6. Step 6: Final answer
    x = 4,105.28

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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.