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Finding the Fourth Proportional to 3,646.55, 5,467.80 and 1,566.20

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Solution

The fourth proportional to 3,646.55, 5,467.80 and 1,566.20 is: 2,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.55 : 5,467.80 = 1,566.20 : x
  2. Step 2: Convert to fraction form
    3,646.55/5,467.80 = 1,566.20/x
  3. Step 3: Cross multiply
    3,646.55x = 5,467.80 × 1,566.20
  4. Step 4: Simplify right side
    3,646.55x = 8,563,668.36
  5. Step 5: Solve for x
    x = 8,563,668.36/3,646.55
  6. Step 6: Final answer
    x = 2,348.43

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