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Finding the Fourth Proportional to 3,840.48, 5,763.87 and 1,992.15

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Solution

The fourth proportional to 3,840.48, 5,763.87 and 1,992.15 is: 2,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.48 : 5,763.87 = 1,992.15 : x
  2. Step 2: Convert to fraction form
    3,840.48/5,763.87 = 1,992.15/x
  3. Step 3: Cross multiply
    3,840.48x = 5,763.87 × 1,992.15
  4. Step 4: Simplify right side
    3,840.48x = 11,482,493.62
  5. Step 5: Solve for x
    x = 11,482,493.62/3,840.48
  6. Step 6: Final answer
    x = 2,989.86

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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.