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Finding the Fourth Proportional to 3,880.31, 5,355.02 and 2,201.81

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Solution

The fourth proportional to 3,880.31, 5,355.02 and 2,201.81 is: 3,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.31 : 5,355.02 = 2,201.81 : x
  2. Step 2: Convert to fraction form
    3,880.31/5,355.02 = 2,201.81/x
  3. Step 3: Cross multiply
    3,880.31x = 5,355.02 × 2,201.81
  4. Step 4: Simplify right side
    3,880.31x = 11,790,725.58
  5. Step 5: Solve for x
    x = 11,790,725.58/3,880.31
  6. Step 6: Final answer
    x = 3,038.60

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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.