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Finding the Fourth Proportional to 3,881.09, 5,349.69 and 2,974.70

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Solution

The fourth proportional to 3,881.09, 5,349.69 and 2,974.70 is: 4,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.09 : 5,349.69 = 2,974.70 : x
  2. Step 2: Convert to fraction form
    3,881.09/5,349.69 = 2,974.70/x
  3. Step 3: Cross multiply
    3,881.09x = 5,349.69 × 2,974.70
  4. Step 4: Simplify right side
    3,881.09x = 15,913,722.84
  5. Step 5: Solve for x
    x = 15,913,722.84/3,881.09
  6. Step 6: Final answer
    x = 4,100.32

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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.