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Finding the Fourth Proportional to 4,648.14, 6,971.96 and 3,400.02

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Solution

The fourth proportional to 4,648.14, 6,971.96 and 3,400.02 is: 5,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.14 : 6,971.96 = 3,400.02 : x
  2. Step 2: Convert to fraction form
    4,648.14/6,971.96 = 3,400.02/x
  3. Step 3: Cross multiply
    4,648.14x = 6,971.96 × 3,400.02
  4. Step 4: Simplify right side
    4,648.14x = 23,704,803.44
  5. Step 5: Solve for x
    x = 23,704,803.44/4,648.14
  6. Step 6: Final answer
    x = 5,099.85

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