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Finding the Fourth Proportional to 3,796.83, 5,238.18 and 2,804.49

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Solution

The fourth proportional to 3,796.83, 5,238.18 and 2,804.49 is: 3,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.83 : 5,238.18 = 2,804.49 : x
  2. Step 2: Convert to fraction form
    3,796.83/5,238.18 = 2,804.49/x
  3. Step 3: Cross multiply
    3,796.83x = 5,238.18 × 2,804.49
  4. Step 4: Simplify right side
    3,796.83x = 14,690,423.43
  5. Step 5: Solve for x
    x = 14,690,423.43/3,796.83
  6. Step 6: Final answer
    x = 3,869.13

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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.