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Finding the Fourth Proportional to 3,662.02, 5,054.42 and 2,863.77

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Solution

The fourth proportional to 3,662.02, 5,054.42 and 2,863.77 is: 3,952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.02 : 5,054.42 = 2,863.77 : x
  2. Step 2: Convert to fraction form
    3,662.02/5,054.42 = 2,863.77/x
  3. Step 3: Cross multiply
    3,662.02x = 5,054.42 × 2,863.77
  4. Step 4: Simplify right side
    3,662.02x = 14,474,696.36
  5. Step 5: Solve for x
    x = 14,474,696.36/3,662.02
  6. Step 6: Final answer
    x = 3,952.65

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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.