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Finding the Fourth Proportional to 4,577.87, 6,867.35 and 1,456.78

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Solution

The fourth proportional to 4,577.87, 6,867.35 and 1,456.78 is: 2,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.87 : 6,867.35 = 1,456.78 : x
  2. Step 2: Convert to fraction form
    4,577.87/6,867.35 = 1,456.78/x
  3. Step 3: Cross multiply
    4,577.87x = 6,867.35 × 1,456.78
  4. Step 4: Simplify right side
    4,577.87x = 10,004,219.43
  5. Step 5: Solve for x
    x = 10,004,219.43/4,577.87
  6. Step 6: Final answer
    x = 2,185.34

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