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Finding the Fourth Proportional to 3,196.40, 4,400.53 and 2,884.75

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Solution

The fourth proportional to 3,196.40, 4,400.53 and 2,884.75 is: 3,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.40 : 4,400.53 = 2,884.75 : x
  2. Step 2: Convert to fraction form
    3,196.40/4,400.53 = 2,884.75/x
  3. Step 3: Cross multiply
    3,196.40x = 4,400.53 × 2,884.75
  4. Step 4: Simplify right side
    3,196.40x = 12,694,410.70
  5. Step 5: Solve for x
    x = 12,694,410.70/3,196.40
  6. Step 6: Final answer
    x = 3,971.48

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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.