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Finding the Fourth Proportional to 3,880.91, 5,346.25 and 2,884.46

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Solution

The fourth proportional to 3,880.91, 5,346.25 and 2,884.46 is: 3,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.91 : 5,346.25 = 2,884.46 : x
  2. Step 2: Convert to fraction form
    3,880.91/5,346.25 = 2,884.46/x
  3. Step 3: Cross multiply
    3,880.91x = 5,346.25 × 2,884.46
  4. Step 4: Simplify right side
    3,880.91x = 15,421,029.85
  5. Step 5: Solve for x
    x = 15,421,029.85/3,880.91
  6. Step 6: Final answer
    x = 3,973.56

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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.