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Finding the Fourth Proportional to 3,763.23, 5,193.23 and 2,084.75

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Solution

The fourth proportional to 3,763.23, 5,193.23 and 2,084.75 is: 2,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.23 : 5,193.23 = 2,084.75 : x
  2. Step 2: Convert to fraction form
    3,763.23/5,193.23 = 2,084.75/x
  3. Step 3: Cross multiply
    3,763.23x = 5,193.23 × 2,084.75
  4. Step 4: Simplify right side
    3,763.23x = 10,826,557.67
  5. Step 5: Solve for x
    x = 10,826,557.67/3,763.23
  6. Step 6: Final answer
    x = 2,876.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.