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Finding the Fourth Proportional to 3,381.80, 5,072.66 and 916.85

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Solution

The fourth proportional to 3,381.80, 5,072.66 and 916.85 is: 1,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.80 : 5,072.66 = 916.85 : x
  2. Step 2: Convert to fraction form
    3,381.80/5,072.66 = 916.85/x
  3. Step 3: Cross multiply
    3,381.80x = 5,072.66 × 916.85
  4. Step 4: Simplify right side
    3,381.80x = 4,650,863.74
  5. Step 5: Solve for x
    x = 4,650,863.74/3,381.80
  6. Step 6: Final answer
    x = 1,375.26

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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.