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Finding the Fourth Proportional to 4,498.91, 6,748.16 and 1,577.00

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Solution

The fourth proportional to 4,498.91, 6,748.16 and 1,577.00 is: 2,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.91 : 6,748.16 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    4,498.91/6,748.16 = 1,577.00/x
  3. Step 3: Cross multiply
    4,498.91x = 6,748.16 × 1,577.00
  4. Step 4: Simplify right side
    4,498.91x = 10,641,806.69
  5. Step 5: Solve for x
    x = 10,641,806.69/4,498.91
  6. Step 6: Final answer
    x = 2,365.42

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