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Finding the Fourth Proportional to 3,837.72, 5,756.46 and 1,064.34

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Solution

The fourth proportional to 3,837.72, 5,756.46 and 1,064.34 is: 1,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.72 : 5,756.46 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    3,837.72/5,756.46 = 1,064.34/x
  3. Step 3: Cross multiply
    3,837.72x = 5,756.46 × 1,064.34
  4. Step 4: Simplify right side
    3,837.72x = 6,126,830.64
  5. Step 5: Solve for x
    x = 6,126,830.64/3,837.72
  6. Step 6: Final answer
    x = 1,596.48

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