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Finding the Fourth Proportional to 3,731.86, 5,585.64 and 2,264.14

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Solution

The fourth proportional to 3,731.86, 5,585.64 and 2,264.14 is: 3,388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.86 : 5,585.64 = 2,264.14 : x
  2. Step 2: Convert to fraction form
    3,731.86/5,585.64 = 2,264.14/x
  3. Step 3: Cross multiply
    3,731.86x = 5,585.64 × 2,264.14
  4. Step 4: Simplify right side
    3,731.86x = 12,646,670.95
  5. Step 5: Solve for x
    x = 12,646,670.95/3,731.86
  6. Step 6: Final answer
    x = 3,388.84

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