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Finding the Fourth Proportional to 3,863.46, 5,338.53 and 3,083.70

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Solution

The fourth proportional to 3,863.46, 5,338.53 and 3,083.70 is: 4,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.46 : 5,338.53 = 3,083.70 : x
  2. Step 2: Convert to fraction form
    3,863.46/5,338.53 = 3,083.70/x
  3. Step 3: Cross multiply
    3,863.46x = 5,338.53 × 3,083.70
  4. Step 4: Simplify right side
    3,863.46x = 16,462,424.96
  5. Step 5: Solve for x
    x = 16,462,424.96/3,863.46
  6. Step 6: Final answer
    x = 4,261.06

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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.