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Finding the Fourth Proportional to 3,126.84, 4,687.80 and 1,566.09

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Solution

The fourth proportional to 3,126.84, 4,687.80 and 1,566.09 is: 2,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.84 : 4,687.80 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    3,126.84/4,687.80 = 1,566.09/x
  3. Step 3: Cross multiply
    3,126.84x = 4,687.80 × 1,566.09
  4. Step 4: Simplify right side
    3,126.84x = 7,341,516.70
  5. Step 5: Solve for x
    x = 7,341,516.70/3,126.84
  6. Step 6: Final answer
    x = 2,347.90

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