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Finding the Fourth Proportional to 3,657.20, 5,491.20 and 2,566.40

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Solution

The fourth proportional to 3,657.20, 5,491.20 and 2,566.40 is: 3,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.20 : 5,491.20 = 2,566.40 : x
  2. Step 2: Convert to fraction form
    3,657.20/5,491.20 = 2,566.40/x
  3. Step 3: Cross multiply
    3,657.20x = 5,491.20 × 2,566.40
  4. Step 4: Simplify right side
    3,657.20x = 14,092,615.68
  5. Step 5: Solve for x
    x = 14,092,615.68/3,657.20
  6. Step 6: Final answer
    x = 3,853.39

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