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Finding the Fourth Proportional to 3,880.85, 5,356.13 and 2,202.68

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Solution

The fourth proportional to 3,880.85, 5,356.13 and 2,202.68 is: 3,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.85 : 5,356.13 = 2,202.68 : x
  2. Step 2: Convert to fraction form
    3,880.85/5,356.13 = 2,202.68/x
  3. Step 3: Cross multiply
    3,880.85x = 5,356.13 × 2,202.68
  4. Step 4: Simplify right side
    3,880.85x = 11,797,842.81
  5. Step 5: Solve for x
    x = 11,797,842.81/3,880.85
  6. Step 6: Final answer
    x = 3,040.02

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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.