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Finding the Fourth Proportional to 2,817.84, 4,214.34 and 2,559.48

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Solution

The fourth proportional to 2,817.84, 4,214.34 and 2,559.48 is: 3,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.84 : 4,214.34 = 2,559.48 : x
  2. Step 2: Convert to fraction form
    2,817.84/4,214.34 = 2,559.48/x
  3. Step 3: Cross multiply
    2,817.84x = 4,214.34 × 2,559.48
  4. Step 4: Simplify right side
    2,817.84x = 10,786,518.94
  5. Step 5: Solve for x
    x = 10,786,518.94/2,817.84
  6. Step 6: Final answer
    x = 3,827.94

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