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Finding the Fourth Proportional to 3,512.37, 5,266.80 and 1,171.56

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Solution

The fourth proportional to 3,512.37, 5,266.80 and 1,171.56 is: 1,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.37 : 5,266.80 = 1,171.56 : x
  2. Step 2: Convert to fraction form
    3,512.37/5,266.80 = 1,171.56/x
  3. Step 3: Cross multiply
    3,512.37x = 5,266.80 × 1,171.56
  4. Step 4: Simplify right side
    3,512.37x = 6,170,372.21
  5. Step 5: Solve for x
    x = 6,170,372.21/3,512.37
  6. Step 6: Final answer
    x = 1,756.75

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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.