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Finding the Fourth Proportional to 5,212.56, 7,193.28 and 2,854.69

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Solution

The fourth proportional to 5,212.56, 7,193.28 and 2,854.69 is: 3,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.56 : 7,193.28 = 2,854.69 : x
  2. Step 2: Convert to fraction form
    5,212.56/7,193.28 = 2,854.69/x
  3. Step 3: Cross multiply
    5,212.56x = 7,193.28 × 2,854.69
  4. Step 4: Simplify right side
    5,212.56x = 20,534,584.48
  5. Step 5: Solve for x
    x = 20,534,584.48/5,212.56
  6. Step 6: Final answer
    x = 3,939.44

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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.