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Finding the Fourth Proportional to 3,369.80, 4,647.24 and 2,309.11

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Solution

The fourth proportional to 3,369.80, 4,647.24 and 2,309.11 is: 3,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.80 : 4,647.24 = 2,309.11 : x
  2. Step 2: Convert to fraction form
    3,369.80/4,647.24 = 2,309.11/x
  3. Step 3: Cross multiply
    3,369.80x = 4,647.24 × 2,309.11
  4. Step 4: Simplify right side
    3,369.80x = 10,730,976.74
  5. Step 5: Solve for x
    x = 10,730,976.74/3,369.80
  6. Step 6: Final answer
    x = 3,184.45

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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.