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Finding the Fourth Proportional to 5,410.02, 7,463.82 and 3,997.11

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Solution

The fourth proportional to 5,410.02, 7,463.82 and 3,997.11 is: 5,514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.02 : 7,463.82 = 3,997.11 : x
  2. Step 2: Convert to fraction form
    5,410.02/7,463.82 = 3,997.11/x
  3. Step 3: Cross multiply
    5,410.02x = 7,463.82 × 3,997.11
  4. Step 4: Simplify right side
    5,410.02x = 29,833,672.24
  5. Step 5: Solve for x
    x = 29,833,672.24/5,410.02
  6. Step 6: Final answer
    x = 5,514.53

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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.