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Finding the Fourth Proportional to 5,156.00, 7,735.68 and 1,646.58

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Solution

The fourth proportional to 5,156.00, 7,735.68 and 1,646.58 is: 2,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.00 : 7,735.68 = 1,646.58 : x
  2. Step 2: Convert to fraction form
    5,156.00/7,735.68 = 1,646.58/x
  3. Step 3: Cross multiply
    5,156.00x = 7,735.68 × 1,646.58
  4. Step 4: Simplify right side
    5,156.00x = 12,737,415.97
  5. Step 5: Solve for x
    x = 12,737,415.97/5,156.00
  6. Step 6: Final answer
    x = 2,470.41

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