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Finding the Fourth Proportional to 5,942.85, 8,202.51 and 3,953.49

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Solution

The fourth proportional to 5,942.85, 8,202.51 and 3,953.49 is: 5,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.85 : 8,202.51 = 3,953.49 : x
  2. Step 2: Convert to fraction form
    5,942.85/8,202.51 = 3,953.49/x
  3. Step 3: Cross multiply
    5,942.85x = 8,202.51 × 3,953.49
  4. Step 4: Simplify right side
    5,942.85x = 32,428,541.26
  5. Step 5: Solve for x
    x = 32,428,541.26/5,942.85
  6. Step 6: Final answer
    x = 5,456.73

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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.