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Finding the Fourth Proportional to 3,905.87, 5,859.32 and 2,057.12

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Solution

The fourth proportional to 3,905.87, 5,859.32 and 2,057.12 is: 3,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.87 : 5,859.32 = 2,057.12 : x
  2. Step 2: Convert to fraction form
    3,905.87/5,859.32 = 2,057.12/x
  3. Step 3: Cross multiply
    3,905.87x = 5,859.32 × 2,057.12
  4. Step 4: Simplify right side
    3,905.87x = 12,053,284.78
  5. Step 5: Solve for x
    x = 12,053,284.78/3,905.87
  6. Step 6: Final answer
    x = 3,085.95

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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.