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Finding the Fourth Proportional to 4,468.86, 6,703.74 and 1,546.48

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Solution

The fourth proportional to 4,468.86, 6,703.74 and 1,546.48 is: 2,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.86 : 6,703.74 = 1,546.48 : x
  2. Step 2: Convert to fraction form
    4,468.86/6,703.74 = 1,546.48/x
  3. Step 3: Cross multiply
    4,468.86x = 6,703.74 × 1,546.48
  4. Step 4: Simplify right side
    4,468.86x = 10,367,199.84
  5. Step 5: Solve for x
    x = 10,367,199.84/4,468.86
  6. Step 6: Final answer
    x = 2,319.88

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