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Finding the Fourth Proportional to 3,777.79, 5,667.83 and 1,180.75

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Solution

The fourth proportional to 3,777.79, 5,667.83 and 1,180.75 is: 1,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.79 : 5,667.83 = 1,180.75 : x
  2. Step 2: Convert to fraction form
    3,777.79/5,667.83 = 1,180.75/x
  3. Step 3: Cross multiply
    3,777.79x = 5,667.83 × 1,180.75
  4. Step 4: Simplify right side
    3,777.79x = 6,692,256.03
  5. Step 5: Solve for x
    x = 6,692,256.03/3,777.79
  6. Step 6: Final answer
    x = 1,771.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.