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Finding the Fourth Proportional to 5,219.65, 7,821.37 and 3,369.21

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Solution

The fourth proportional to 5,219.65, 7,821.37 and 3,369.21 is: 5,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.65 : 7,821.37 = 3,369.21 : x
  2. Step 2: Convert to fraction form
    5,219.65/7,821.37 = 3,369.21/x
  3. Step 3: Cross multiply
    5,219.65x = 7,821.37 × 3,369.21
  4. Step 4: Simplify right side
    5,219.65x = 26,351,838.02
  5. Step 5: Solve for x
    x = 26,351,838.02/5,219.65
  6. Step 6: Final answer
    x = 5,048.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.