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Finding the Fourth Proportional to 4,179.99, 5,768.31 and 2,291.49

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Solution

The fourth proportional to 4,179.99, 5,768.31 and 2,291.49 is: 3,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.99 : 5,768.31 = 2,291.49 : x
  2. Step 2: Convert to fraction form
    4,179.99/5,768.31 = 2,291.49/x
  3. Step 3: Cross multiply
    4,179.99x = 5,768.31 × 2,291.49
  4. Step 4: Simplify right side
    4,179.99x = 13,218,033.27
  5. Step 5: Solve for x
    x = 13,218,033.27/4,179.99
  6. Step 6: Final answer
    x = 3,162.22

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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.