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Finding the Fourth Proportional to 5,733.73, 7,912.58 and 3,743.11

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Solution

The fourth proportional to 5,733.73, 7,912.58 and 3,743.11 is: 5,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.73 : 7,912.58 = 3,743.11 : x
  2. Step 2: Convert to fraction form
    5,733.73/7,912.58 = 3,743.11/x
  3. Step 3: Cross multiply
    5,733.73x = 7,912.58 × 3,743.11
  4. Step 4: Simplify right side
    5,733.73x = 29,617,657.32
  5. Step 5: Solve for x
    x = 29,617,657.32/5,733.73
  6. Step 6: Final answer
    x = 5,165.51

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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.