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Finding the Fourth Proportional to 5,637.96, 8,456.94 and 1,742.28

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Solution

The fourth proportional to 5,637.96, 8,456.94 and 1,742.28 is: 2,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.96 : 8,456.94 = 1,742.28 : x
  2. Step 2: Convert to fraction form
    5,637.96/8,456.94 = 1,742.28/x
  3. Step 3: Cross multiply
    5,637.96x = 8,456.94 × 1,742.28
  4. Step 4: Simplify right side
    5,637.96x = 14,734,357.42
  5. Step 5: Solve for x
    x = 14,734,357.42/5,637.96
  6. Step 6: Final answer
    x = 2,613.42

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