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Finding the Fourth Proportional to 4,109.71, 5,664.49 and 3,114.67

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Solution

The fourth proportional to 4,109.71, 5,664.49 and 3,114.67 is: 4,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.71 : 5,664.49 = 3,114.67 : x
  2. Step 2: Convert to fraction form
    4,109.71/5,664.49 = 3,114.67/x
  3. Step 3: Cross multiply
    4,109.71x = 5,664.49 × 3,114.67
  4. Step 4: Simplify right side
    4,109.71x = 17,643,017.07
  5. Step 5: Solve for x
    x = 17,643,017.07/4,109.71
  6. Step 6: Final answer
    x = 4,293.01

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