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Finding the Fourth Proportional to 3,881.40, 5,355.12 and 2,202.72

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Solution

The fourth proportional to 3,881.40, 5,355.12 and 2,202.72 is: 3,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.40 : 5,355.12 = 2,202.72 : x
  2. Step 2: Convert to fraction form
    3,881.40/5,355.12 = 2,202.72/x
  3. Step 3: Cross multiply
    3,881.40x = 5,355.12 × 2,202.72
  4. Step 4: Simplify right side
    3,881.40x = 11,795,829.93
  5. Step 5: Solve for x
    x = 11,795,829.93/3,881.40
  6. Step 6: Final answer
    x = 3,039.07

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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.