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Finding the Fourth Proportional to 5,835.89, 8,053.85 and 3,743.57

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Solution

The fourth proportional to 5,835.89, 8,053.85 and 3,743.57 is: 5,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.89 : 8,053.85 = 3,743.57 : x
  2. Step 2: Convert to fraction form
    5,835.89/8,053.85 = 3,743.57/x
  3. Step 3: Cross multiply
    5,835.89x = 8,053.85 × 3,743.57
  4. Step 4: Simplify right side
    5,835.89x = 30,150,151.24
  5. Step 5: Solve for x
    x = 30,150,151.24/5,835.89
  6. Step 6: Final answer
    x = 5,166.33

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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.