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Finding the Fourth Proportional to 5,212.50, 7,193.25 and 2,854.73

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Solution

The fourth proportional to 5,212.50, 7,193.25 and 2,854.73 is: 3,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.50 : 7,193.25 = 2,854.73 : x
  2. Step 2: Convert to fraction form
    5,212.50/7,193.25 = 2,854.73/x
  3. Step 3: Cross multiply
    5,212.50x = 7,193.25 × 2,854.73
  4. Step 4: Simplify right side
    5,212.50x = 20,534,750.61
  5. Step 5: Solve for x
    x = 20,534,750.61/5,212.50
  6. Step 6: Final answer
    x = 3,939.52

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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.