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Finding the Fourth Proportional to 4,655.28, 6,978.60 and 2,462.16

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Solution

The fourth proportional to 4,655.28, 6,978.60 and 2,462.16 is: 3,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.28 : 6,978.60 = 2,462.16 : x
  2. Step 2: Convert to fraction form
    4,655.28/6,978.60 = 2,462.16/x
  3. Step 3: Cross multiply
    4,655.28x = 6,978.60 × 2,462.16
  4. Step 4: Simplify right side
    4,655.28x = 17,182,429.78
  5. Step 5: Solve for x
    x = 17,182,429.78/4,655.28
  6. Step 6: Final answer
    x = 3,690.96

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