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Finding the Fourth Proportional to 5,308.25, 7,962.71 and 1,610.78

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Solution

The fourth proportional to 5,308.25, 7,962.71 and 1,610.78 is: 2,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.25 : 7,962.71 = 1,610.78 : x
  2. Step 2: Convert to fraction form
    5,308.25/7,962.71 = 1,610.78/x
  3. Step 3: Cross multiply
    5,308.25x = 7,962.71 × 1,610.78
  4. Step 4: Simplify right side
    5,308.25x = 12,826,126.15
  5. Step 5: Solve for x
    x = 12,826,126.15/5,308.25
  6. Step 6: Final answer
    x = 2,416.26

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