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Finding the Fourth Proportional to 3,850.64, 5,775.96 and 1,543.76

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Solution

The fourth proportional to 3,850.64, 5,775.96 and 1,543.76 is: 2,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.64 : 5,775.96 = 1,543.76 : x
  2. Step 2: Convert to fraction form
    3,850.64/5,775.96 = 1,543.76/x
  3. Step 3: Cross multiply
    3,850.64x = 5,775.96 × 1,543.76
  4. Step 4: Simplify right side
    3,850.64x = 8,916,696.01
  5. Step 5: Solve for x
    x = 8,916,696.01/3,850.64
  6. Step 6: Final answer
    x = 2,315.64

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