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Finding the Fourth Proportional to 3,858.92, 5,780.43 and 2,872.74

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Solution

The fourth proportional to 3,858.92, 5,780.43 and 2,872.74 is: 4,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.92 : 5,780.43 = 2,872.74 : x
  2. Step 2: Convert to fraction form
    3,858.92/5,780.43 = 2,872.74/x
  3. Step 3: Cross multiply
    3,858.92x = 5,780.43 × 2,872.74
  4. Step 4: Simplify right side
    3,858.92x = 16,605,694.15
  5. Step 5: Solve for x
    x = 16,605,694.15/3,858.92
  6. Step 6: Final answer
    x = 4,303.20

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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.