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Finding the Fourth Proportional to 5,724.16, 8,585.76 and 3,887.08

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Solution

The fourth proportional to 5,724.16, 8,585.76 and 3,887.08 is: 5,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.16 : 8,585.76 = 3,887.08 : x
  2. Step 2: Convert to fraction form
    5,724.16/8,585.76 = 3,887.08/x
  3. Step 3: Cross multiply
    5,724.16x = 8,585.76 × 3,887.08
  4. Step 4: Simplify right side
    5,724.16x = 33,373,535.98
  5. Step 5: Solve for x
    x = 33,373,535.98/5,724.16
  6. Step 6: Final answer
    x = 5,830.29

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