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Finding the Fourth Proportional to 4,206.57, 6,302.67 and 2,971.60

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Solution

The fourth proportional to 4,206.57, 6,302.67 and 2,971.60 is: 4,452.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.57 : 6,302.67 = 2,971.60 : x
  2. Step 2: Convert to fraction form
    4,206.57/6,302.67 = 2,971.60/x
  3. Step 3: Cross multiply
    4,206.57x = 6,302.67 × 2,971.60
  4. Step 4: Simplify right side
    4,206.57x = 18,729,014.17
  5. Step 5: Solve for x
    x = 18,729,014.17/4,206.57
  6. Step 6: Final answer
    x = 4,452.32

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