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Finding the Fourth Proportional to 4,505.78, 6,184.89 and 3,997.31

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Solution

The fourth proportional to 4,505.78, 6,184.89 and 3,997.31 is: 5,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.78 : 6,184.89 = 3,997.31 : x
  2. Step 2: Convert to fraction form
    4,505.78/6,184.89 = 3,997.31/x
  3. Step 3: Cross multiply
    4,505.78x = 6,184.89 × 3,997.31
  4. Step 4: Simplify right side
    4,505.78x = 24,722,902.66
  5. Step 5: Solve for x
    x = 24,722,902.66/4,505.78
  6. Step 6: Final answer
    x = 5,486.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.