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Finding the Fourth Proportional to 4,737.57, 7,112.43 and 2,983.11

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Solution

The fourth proportional to 4,737.57, 7,112.43 and 2,983.11 is: 4,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.57 : 7,112.43 = 2,983.11 : x
  2. Step 2: Convert to fraction form
    4,737.57/7,112.43 = 2,983.11/x
  3. Step 3: Cross multiply
    4,737.57x = 7,112.43 × 2,983.11
  4. Step 4: Simplify right side
    4,737.57x = 21,217,161.06
  5. Step 5: Solve for x
    x = 21,217,161.06/4,737.57
  6. Step 6: Final answer
    x = 4,478.49

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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.