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Finding the Fourth Proportional to 3,282.40, 4,916.40 and 2,850.40

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Solution

The fourth proportional to 3,282.40, 4,916.40 and 2,850.40 is: 4,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.40 : 4,916.40 = 2,850.40 : x
  2. Step 2: Convert to fraction form
    3,282.40/4,916.40 = 2,850.40/x
  3. Step 3: Cross multiply
    3,282.40x = 4,916.40 × 2,850.40
  4. Step 4: Simplify right side
    3,282.40x = 14,013,706.56
  5. Step 5: Solve for x
    x = 14,013,706.56/3,282.40
  6. Step 6: Final answer
    x = 4,269.35

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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.