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Finding the Fourth Proportional to 3,660.53, 5,488.10 and 2,566.85

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Solution

The fourth proportional to 3,660.53, 5,488.10 and 2,566.85 is: 3,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.53 : 5,488.10 = 2,566.85 : x
  2. Step 2: Convert to fraction form
    3,660.53/5,488.10 = 2,566.85/x
  3. Step 3: Cross multiply
    3,660.53x = 5,488.10 × 2,566.85
  4. Step 4: Simplify right side
    3,660.53x = 14,087,116.65
  5. Step 5: Solve for x
    x = 14,087,116.65/3,660.53
  6. Step 6: Final answer
    x = 3,848.38

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