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Finding the Fourth Proportional to 5,156.84, 7,734.24 and 1,646.70

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Solution

The fourth proportional to 5,156.84, 7,734.24 and 1,646.70 is: 2,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.84 : 7,734.24 = 1,646.70 : x
  2. Step 2: Convert to fraction form
    5,156.84/7,734.24 = 1,646.70/x
  3. Step 3: Cross multiply
    5,156.84x = 7,734.24 × 1,646.70
  4. Step 4: Simplify right side
    5,156.84x = 12,735,973.01
  5. Step 5: Solve for x
    x = 12,735,973.01/5,156.84
  6. Step 6: Final answer
    x = 2,469.72

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