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Finding the Fourth Proportional to 3,185.46, 4,773.33 and 1,452.06

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Solution

The fourth proportional to 3,185.46, 4,773.33 and 1,452.06 is: 2,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.46 : 4,773.33 = 1,452.06 : x
  2. Step 2: Convert to fraction form
    3,185.46/4,773.33 = 1,452.06/x
  3. Step 3: Cross multiply
    3,185.46x = 4,773.33 × 1,452.06
  4. Step 4: Simplify right side
    3,185.46x = 6,931,161.56
  5. Step 5: Solve for x
    x = 6,931,161.56/3,185.46
  6. Step 6: Final answer
    x = 2,175.87

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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.