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Finding the Fourth Proportional to 4,488.52, 6,735.85 and 1,566.82

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Solution

The fourth proportional to 4,488.52, 6,735.85 and 1,566.82 is: 2,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.52 : 6,735.85 = 1,566.82 : x
  2. Step 2: Convert to fraction form
    4,488.52/6,735.85 = 1,566.82/x
  3. Step 3: Cross multiply
    4,488.52x = 6,735.85 × 1,566.82
  4. Step 4: Simplify right side
    4,488.52x = 10,553,873.41
  5. Step 5: Solve for x
    x = 10,553,873.41/4,488.52
  6. Step 6: Final answer
    x = 2,351.31

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