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Finding the Fourth Proportional to 3,840.86, 5,298.54 and 3,691.82

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Solution

The fourth proportional to 3,840.86, 5,298.54 and 3,691.82 is: 5,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.86 : 5,298.54 = 3,691.82 : x
  2. Step 2: Convert to fraction form
    3,840.86/5,298.54 = 3,691.82/x
  3. Step 3: Cross multiply
    3,840.86x = 5,298.54 × 3,691.82
  4. Step 4: Simplify right side
    3,840.86x = 19,561,255.94
  5. Step 5: Solve for x
    x = 19,561,255.94/3,840.86
  6. Step 6: Final answer
    x = 5,092.94

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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.