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Finding the Fourth Proportional to 3,872.70, 5,810.85 and 2,025.90

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Solution

The fourth proportional to 3,872.70, 5,810.85 and 2,025.90 is: 3,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.70 : 5,810.85 = 2,025.90 : x
  2. Step 2: Convert to fraction form
    3,872.70/5,810.85 = 2,025.90/x
  3. Step 3: Cross multiply
    3,872.70x = 5,810.85 × 2,025.90
  4. Step 4: Simplify right side
    3,872.70x = 11,772,201.02
  5. Step 5: Solve for x
    x = 11,772,201.02/3,872.70
  6. Step 6: Final answer
    x = 3,039.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.