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Finding the Fourth Proportional to 4,108.89, 5,672.13 and 2,854.20

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Solution

The fourth proportional to 4,108.89, 5,672.13 and 2,854.20 is: 3,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.89 : 5,672.13 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    4,108.89/5,672.13 = 2,854.20/x
  3. Step 3: Cross multiply
    4,108.89x = 5,672.13 × 2,854.20
  4. Step 4: Simplify right side
    4,108.89x = 16,189,393.45
  5. Step 5: Solve for x
    x = 16,189,393.45/4,108.89
  6. Step 6: Final answer
    x = 3,940.09

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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.