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Finding the Fourth Proportional to 3,810.57, 5,706.06 and 2,638.90

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Solution

The fourth proportional to 3,810.57, 5,706.06 and 2,638.90 is: 3,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.57 : 5,706.06 = 2,638.90 : x
  2. Step 2: Convert to fraction form
    3,810.57/5,706.06 = 2,638.90/x
  3. Step 3: Cross multiply
    3,810.57x = 5,706.06 × 2,638.90
  4. Step 4: Simplify right side
    3,810.57x = 15,057,721.73
  5. Step 5: Solve for x
    x = 15,057,721.73/3,810.57
  6. Step 6: Final answer
    x = 3,951.57

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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.