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Finding the Fourth Proportional to 4,182.88, 5,771.96 and 2,414.96

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Solution

The fourth proportional to 4,182.88, 5,771.96 and 2,414.96 is: 3,332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.88 : 5,771.96 = 2,414.96 : x
  2. Step 2: Convert to fraction form
    4,182.88/5,771.96 = 2,414.96/x
  3. Step 3: Cross multiply
    4,182.88x = 5,771.96 × 2,414.96
  4. Step 4: Simplify right side
    4,182.88x = 13,939,052.52
  5. Step 5: Solve for x
    x = 13,939,052.52/4,182.88
  6. Step 6: Final answer
    x = 3,332.41

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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.