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Finding the Fourth Proportional to 5,108.52, 7,664.22 and 1,646.76

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Solution

The fourth proportional to 5,108.52, 7,664.22 and 1,646.76 is: 2,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.52 : 7,664.22 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    5,108.52/7,664.22 = 1,646.76/x
  3. Step 3: Cross multiply
    5,108.52x = 7,664.22 × 1,646.76
  4. Step 4: Simplify right side
    5,108.52x = 12,621,130.93
  5. Step 5: Solve for x
    x = 12,621,130.93/5,108.52
  6. Step 6: Final answer
    x = 2,470.60

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