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Finding the Fourth Proportional to 4,176.97, 5,764.22 and 2,314.33

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Solution

The fourth proportional to 4,176.97, 5,764.22 and 2,314.33 is: 3,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.97 : 5,764.22 = 2,314.33 : x
  2. Step 2: Convert to fraction form
    4,176.97/5,764.22 = 2,314.33/x
  3. Step 3: Cross multiply
    4,176.97x = 5,764.22 × 2,314.33
  4. Step 4: Simplify right side
    4,176.97x = 13,340,301.49
  5. Step 5: Solve for x
    x = 13,340,301.49/4,176.97
  6. Step 6: Final answer
    x = 3,193.77

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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.