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Finding the Fourth Proportional to 3,778.52, 5,666.70 and 1,180.76

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Solution

The fourth proportional to 3,778.52, 5,666.70 and 1,180.76 is: 1,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.52 : 5,666.70 = 1,180.76 : x
  2. Step 2: Convert to fraction form
    3,778.52/5,666.70 = 1,180.76/x
  3. Step 3: Cross multiply
    3,778.52x = 5,666.70 × 1,180.76
  4. Step 4: Simplify right side
    3,778.52x = 6,691,012.69
  5. Step 5: Solve for x
    x = 6,691,012.69/3,778.52
  6. Step 6: Final answer
    x = 1,770.80

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