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Finding the Fourth Proportional to 5,212.57, 7,193.31 and 2,854.66

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Solution

The fourth proportional to 5,212.57, 7,193.31 and 2,854.66 is: 3,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.57 : 7,193.31 = 2,854.66 : x
  2. Step 2: Convert to fraction form
    5,212.57/7,193.31 = 2,854.66/x
  3. Step 3: Cross multiply
    5,212.57x = 7,193.31 × 2,854.66
  4. Step 4: Simplify right side
    5,212.57x = 20,534,454.32
  5. Step 5: Solve for x
    x = 20,534,454.32/5,212.57
  6. Step 6: Final answer
    x = 3,939.41

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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.