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Finding the Fourth Proportional to 3,844.16, 5,762.92 and 1,534.16

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Solution

The fourth proportional to 3,844.16, 5,762.92 and 1,534.16 is: 2,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.16 : 5,762.92 = 1,534.16 : x
  2. Step 2: Convert to fraction form
    3,844.16/5,762.92 = 1,534.16/x
  3. Step 3: Cross multiply
    3,844.16x = 5,762.92 × 1,534.16
  4. Step 4: Simplify right side
    3,844.16x = 8,841,241.35
  5. Step 5: Solve for x
    x = 8,841,241.35/3,844.16
  6. Step 6: Final answer
    x = 2,299.92

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