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Finding the Fourth Proportional to 5,369.50, 7,408.29 and 3,382.03

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Solution

The fourth proportional to 5,369.50, 7,408.29 and 3,382.03 is: 4,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.50 : 7,408.29 = 3,382.03 : x
  2. Step 2: Convert to fraction form
    5,369.50/7,408.29 = 3,382.03/x
  3. Step 3: Cross multiply
    5,369.50x = 7,408.29 × 3,382.03
  4. Step 4: Simplify right side
    5,369.50x = 25,055,059.03
  5. Step 5: Solve for x
    x = 25,055,059.03/5,369.50
  6. Step 6: Final answer
    x = 4,666.18

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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.