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Finding the Fourth Proportional to 3,759.58, 5,635.32 and 1,566.91

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Solution

The fourth proportional to 3,759.58, 5,635.32 and 1,566.91 is: 2,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.58 : 5,635.32 = 1,566.91 : x
  2. Step 2: Convert to fraction form
    3,759.58/5,635.32 = 1,566.91/x
  3. Step 3: Cross multiply
    3,759.58x = 5,635.32 × 1,566.91
  4. Step 4: Simplify right side
    3,759.58x = 8,830,039.26
  5. Step 5: Solve for x
    x = 8,830,039.26/3,759.58
  6. Step 6: Final answer
    x = 2,348.68

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