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Finding the Fourth Proportional to 5,206.59, 7,808.67 and 1,743.84

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Solution

The fourth proportional to 5,206.59, 7,808.67 and 1,743.84 is: 2,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.59 : 7,808.67 = 1,743.84 : x
  2. Step 2: Convert to fraction form
    5,206.59/7,808.67 = 1,743.84/x
  3. Step 3: Cross multiply
    5,206.59x = 7,808.67 × 1,743.84
  4. Step 4: Simplify right side
    5,206.59x = 13,617,071.09
  5. Step 5: Solve for x
    x = 13,617,071.09/5,206.59
  6. Step 6: Final answer
    x = 2,615.35

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