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Finding the Fourth Proportional to 3,840.85, 5,753.71 and 1,993.17

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Solution

The fourth proportional to 3,840.85, 5,753.71 and 1,993.17 is: 2,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.85 : 5,753.71 = 1,993.17 : x
  2. Step 2: Convert to fraction form
    3,840.85/5,753.71 = 1,993.17/x
  3. Step 3: Cross multiply
    3,840.85x = 5,753.71 × 1,993.17
  4. Step 4: Simplify right side
    3,840.85x = 11,468,122.16
  5. Step 5: Solve for x
    x = 11,468,122.16/3,840.85
  6. Step 6: Final answer
    x = 2,985.83

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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.