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Finding the Fourth Proportional to 4,108.90, 5,672.12 and 2,854.20

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Solution

The fourth proportional to 4,108.90, 5,672.12 and 2,854.20 is: 3,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.90 : 5,672.12 = 2,854.20 : x
  2. Step 2: Convert to fraction form
    4,108.90/5,672.12 = 2,854.20/x
  3. Step 3: Cross multiply
    4,108.90x = 5,672.12 × 2,854.20
  4. Step 4: Simplify right side
    4,108.90x = 16,189,364.90
  5. Step 5: Solve for x
    x = 16,189,364.90/4,108.90
  6. Step 6: Final answer
    x = 3,940.07

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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.