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Finding the Fourth Proportional to 5,213.97, 7,195.23 and 2,856.20

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Solution

The fourth proportional to 5,213.97, 7,195.23 and 2,856.20 is: 3,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.97 : 7,195.23 = 2,856.20 : x
  2. Step 2: Convert to fraction form
    5,213.97/7,195.23 = 2,856.20/x
  3. Step 3: Cross multiply
    5,213.97x = 7,195.23 × 2,856.20
  4. Step 4: Simplify right side
    5,213.97x = 20,550,979.95
  5. Step 5: Solve for x
    x = 20,550,979.95/5,213.97
  6. Step 6: Final answer
    x = 3,941.52

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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.