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Finding the Fourth Proportional to 5,349, 7,381.49 and 2,991.17

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Solution

The fourth proportional to 5,349, 7,381.49 and 2,991.17 is: 4,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349 : 7,381.49 = 2,991.17 : x
  2. Step 2: Convert to fraction form
    5,349/7,381.49 = 2,991.17/x
  3. Step 3: Cross multiply
    5,349x = 7,381.49 × 2,991.17
  4. Step 4: Simplify right side
    5,349x = 22,079,239.58
  5. Step 5: Solve for x
    x = 22,079,239.58/5,349
  6. Step 6: Final answer
    x = 4,127.73

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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.