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Finding the Fourth Proportional to 5,633.78, 7,775.86 and 3,748.64

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Solution

The fourth proportional to 5,633.78, 7,775.86 and 3,748.64 is: 5,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.78 : 7,775.86 = 3,748.64 : x
  2. Step 2: Convert to fraction form
    5,633.78/7,775.86 = 3,748.64/x
  3. Step 3: Cross multiply
    5,633.78x = 7,775.86 × 3,748.64
  4. Step 4: Simplify right side
    5,633.78x = 29,148,899.83
  5. Step 5: Solve for x
    x = 29,148,899.83/5,633.78
  6. Step 6: Final answer
    x = 5,173.95

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