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Finding the Fourth Proportional to 3,777.85, 5,667.59 and 1,145.44

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Solution

The fourth proportional to 3,777.85, 5,667.59 and 1,145.44 is: 1,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.85 : 5,667.59 = 1,145.44 : x
  2. Step 2: Convert to fraction form
    3,777.85/5,667.59 = 1,145.44/x
  3. Step 3: Cross multiply
    3,777.85x = 5,667.59 × 1,145.44
  4. Step 4: Simplify right side
    3,777.85x = 6,491,878.56
  5. Step 5: Solve for x
    x = 6,491,878.56/3,777.85
  6. Step 6: Final answer
    x = 1,718.41

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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.