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Finding the Fourth Proportional to 3,684.93, 5,082.56 and 2,566.25

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Solution

The fourth proportional to 3,684.93, 5,082.56 and 2,566.25 is: 3,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.93 : 5,082.56 = 2,566.25 : x
  2. Step 2: Convert to fraction form
    3,684.93/5,082.56 = 2,566.25/x
  3. Step 3: Cross multiply
    3,684.93x = 5,082.56 × 2,566.25
  4. Step 4: Simplify right side
    3,684.93x = 13,043,081.36
  5. Step 5: Solve for x
    x = 13,043,081.36/3,684.93
  6. Step 6: Final answer
    x = 3,539.57

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