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Finding the Fourth Proportional to 5,214.97, 7,196.62 and 2,824.89

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Solution

The fourth proportional to 5,214.97, 7,196.62 and 2,824.89 is: 3,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.97 : 7,196.62 = 2,824.89 : x
  2. Step 2: Convert to fraction form
    5,214.97/7,196.62 = 2,824.89/x
  3. Step 3: Cross multiply
    5,214.97x = 7,196.62 × 2,824.89
  4. Step 4: Simplify right side
    5,214.97x = 20,329,667.63
  5. Step 5: Solve for x
    x = 20,329,667.63/5,214.97
  6. Step 6: Final answer
    x = 3,898.33

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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.