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Finding the Fourth Proportional to 5,109.16, 7,665.18 and 1,646.68

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Solution

The fourth proportional to 5,109.16, 7,665.18 and 1,646.68 is: 2,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.16 : 7,665.18 = 1,646.68 : x
  2. Step 2: Convert to fraction form
    5,109.16/7,665.18 = 1,646.68/x
  3. Step 3: Cross multiply
    5,109.16x = 7,665.18 × 1,646.68
  4. Step 4: Simplify right side
    5,109.16x = 12,622,098.60
  5. Step 5: Solve for x
    x = 12,622,098.60/5,109.16
  6. Step 6: Final answer
    x = 2,470.48

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