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Finding the Fourth Proportional to 4,179.85, 5,768.22 and 2,291.54

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Solution

The fourth proportional to 4,179.85, 5,768.22 and 2,291.54 is: 3,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.85 : 5,768.22 = 2,291.54 : x
  2. Step 2: Convert to fraction form
    4,179.85/5,768.22 = 2,291.54/x
  3. Step 3: Cross multiply
    4,179.85x = 5,768.22 × 2,291.54
  4. Step 4: Simplify right side
    4,179.85x = 13,218,078.02
  5. Step 5: Solve for x
    x = 13,218,078.02/4,179.85
  6. Step 6: Final answer
    x = 3,162.33

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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.