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Finding the Fourth Proportional to 3,460.86, 5,188.77 and 1,380.24

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Solution

The fourth proportional to 3,460.86, 5,188.77 and 1,380.24 is: 2,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.86 : 5,188.77 = 1,380.24 : x
  2. Step 2: Convert to fraction form
    3,460.86/5,188.77 = 1,380.24/x
  3. Step 3: Cross multiply
    3,460.86x = 5,188.77 × 1,380.24
  4. Step 4: Simplify right side
    3,460.86x = 7,161,728.45
  5. Step 5: Solve for x
    x = 7,161,728.45/3,460.86
  6. Step 6: Final answer
    x = 2,069.35

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