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Finding the Fourth Proportional to 3,443.87, 5,153.49 and 2,983.23

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Solution

The fourth proportional to 3,443.87, 5,153.49 and 2,983.23 is: 4,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.87 : 5,153.49 = 2,983.23 : x
  2. Step 2: Convert to fraction form
    3,443.87/5,153.49 = 2,983.23/x
  3. Step 3: Cross multiply
    3,443.87x = 5,153.49 × 2,983.23
  4. Step 4: Simplify right side
    3,443.87x = 15,374,045.97
  5. Step 5: Solve for x
    x = 15,374,045.97/3,443.87
  6. Step 6: Final answer
    x = 4,464.17

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Why These Related Problems?

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