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Finding the Fourth Proportional to 3,880.49, 5,354.24 and 2,201.76

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Solution

The fourth proportional to 3,880.49, 5,354.24 and 2,201.76 is: 3,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.49 : 5,354.24 = 2,201.76 : x
  2. Step 2: Convert to fraction form
    3,880.49/5,354.24 = 2,201.76/x
  3. Step 3: Cross multiply
    3,880.49x = 5,354.24 × 2,201.76
  4. Step 4: Simplify right side
    3,880.49x = 11,788,740.45
  5. Step 5: Solve for x
    x = 11,788,740.45/3,880.49
  6. Step 6: Final answer
    x = 3,037.96

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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.