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Finding the Fourth Proportional to 5,694.49, 8,545.92 and 2,923.48

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Solution

The fourth proportional to 5,694.49, 8,545.92 and 2,923.48 is: 4,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.49 : 8,545.92 = 2,923.48 : x
  2. Step 2: Convert to fraction form
    5,694.49/8,545.92 = 2,923.48/x
  3. Step 3: Cross multiply
    5,694.49x = 8,545.92 × 2,923.48
  4. Step 4: Simplify right side
    5,694.49x = 24,983,826.20
  5. Step 5: Solve for x
    x = 24,983,826.20/5,694.49
  6. Step 6: Final answer
    x = 4,387.37

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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.