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Finding the Fourth Proportional to 3,780.93, 5,216.83 and 2,288.83

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Solution

The fourth proportional to 3,780.93, 5,216.83 and 2,288.83 is: 3,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.93 : 5,216.83 = 2,288.83 : x
  2. Step 2: Convert to fraction form
    3,780.93/5,216.83 = 2,288.83/x
  3. Step 3: Cross multiply
    3,780.93x = 5,216.83 × 2,288.83
  4. Step 4: Simplify right side
    3,780.93x = 11,940,449.14
  5. Step 5: Solve for x
    x = 11,940,449.14/3,780.93
  6. Step 6: Final answer
    x = 3,158.07

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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.