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Finding the Fourth Proportional to 3,880.92, 5,356.32 and 2,287.64

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Solution

The fourth proportional to 3,880.92, 5,356.32 and 2,287.64 is: 3,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.92 : 5,356.32 = 2,287.64 : x
  2. Step 2: Convert to fraction form
    3,880.92/5,356.32 = 2,287.64/x
  3. Step 3: Cross multiply
    3,880.92x = 5,356.32 × 2,287.64
  4. Step 4: Simplify right side
    3,880.92x = 12,253,331.88
  5. Step 5: Solve for x
    x = 12,253,331.88/3,880.92
  6. Step 6: Final answer
    x = 3,157.33

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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.