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Finding the Fourth Proportional to 5,214.59, 7,196.13 and 2,856.73

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Solution

The fourth proportional to 5,214.59, 7,196.13 and 2,856.73 is: 3,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.59 : 7,196.13 = 2,856.73 : x
  2. Step 2: Convert to fraction form
    5,214.59/7,196.13 = 2,856.73/x
  3. Step 3: Cross multiply
    5,214.59x = 7,196.13 × 2,856.73
  4. Step 4: Simplify right side
    5,214.59x = 20,557,383.75
  5. Step 5: Solve for x
    x = 20,557,383.75/5,214.59
  6. Step 6: Final answer
    x = 3,942.28

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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.