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Finding the Fourth Proportional to 3,728.62, 5,585.64 and 3,407.86

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Solution

The fourth proportional to 3,728.62, 5,585.64 and 3,407.86 is: 5,105.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.62 : 5,585.64 = 3,407.86 : x
  2. Step 2: Convert to fraction form
    3,728.62/5,585.64 = 3,407.86/x
  3. Step 3: Cross multiply
    3,728.62x = 5,585.64 × 3,407.86
  4. Step 4: Simplify right side
    3,728.62x = 19,035,079.13
  5. Step 5: Solve for x
    x = 19,035,079.13/3,728.62
  6. Step 6: Final answer
    x = 5,105.13

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