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Finding the Fourth Proportional to 3,892.77, 5,371.85 and 2,400.83

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Solution

The fourth proportional to 3,892.77, 5,371.85 and 2,400.83 is: 3,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.77 : 5,371.85 = 2,400.83 : x
  2. Step 2: Convert to fraction form
    3,892.77/5,371.85 = 2,400.83/x
  3. Step 3: Cross multiply
    3,892.77x = 5,371.85 × 2,400.83
  4. Step 4: Simplify right side
    3,892.77x = 12,896,859.77
  5. Step 5: Solve for x
    x = 12,896,859.77/3,892.77
  6. Step 6: Final answer
    x = 3,313.03

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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.