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Finding the Fourth Proportional to 3,883.86, 5,801 and 3,365.46

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Solution

The fourth proportional to 3,883.86, 5,801 and 3,365.46 is: 5,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.86 : 5,801 = 3,365.46 : x
  2. Step 2: Convert to fraction form
    3,883.86/5,801 = 3,365.46/x
  3. Step 3: Cross multiply
    3,883.86x = 5,801 × 3,365.46
  4. Step 4: Simplify right side
    3,883.86x = 19,523,033.46
  5. Step 5: Solve for x
    x = 19,523,033.46/3,883.86
  6. Step 6: Final answer
    x = 5,026.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.