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Finding the Fourth Proportional to 5,216.59, 7,822.05 and 2,402.38

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Solution

The fourth proportional to 5,216.59, 7,822.05 and 2,402.38 is: 3,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.59 : 7,822.05 = 2,402.38 : x
  2. Step 2: Convert to fraction form
    5,216.59/7,822.05 = 2,402.38/x
  3. Step 3: Cross multiply
    5,216.59x = 7,822.05 × 2,402.38
  4. Step 4: Simplify right side
    5,216.59x = 18,791,536.48
  5. Step 5: Solve for x
    x = 18,791,536.48/5,216.59
  6. Step 6: Final answer
    x = 3,602.26

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