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Finding the Fourth Proportional to 5,902.36, 8,852.77 and 1,742.80

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Solution

The fourth proportional to 5,902.36, 8,852.77 and 1,742.80 is: 2,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.36 : 8,852.77 = 1,742.80 : x
  2. Step 2: Convert to fraction form
    5,902.36/8,852.77 = 1,742.80/x
  3. Step 3: Cross multiply
    5,902.36x = 8,852.77 × 1,742.80
  4. Step 4: Simplify right side
    5,902.36x = 15,428,607.56
  5. Step 5: Solve for x
    x = 15,428,607.56/5,902.36
  6. Step 6: Final answer
    x = 2,613.97

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