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Finding the Fourth Proportional to 5,744.87, 8,612.98 and 2,934.13

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Solution

The fourth proportional to 5,744.87, 8,612.98 and 2,934.13 is: 4,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.87 : 8,612.98 = 2,934.13 : x
  2. Step 2: Convert to fraction form
    5,744.87/8,612.98 = 2,934.13/x
  3. Step 3: Cross multiply
    5,744.87x = 8,612.98 × 2,934.13
  4. Step 4: Simplify right side
    5,744.87x = 25,271,545.27
  5. Step 5: Solve for x
    x = 25,271,545.27/5,744.87
  6. Step 6: Final answer
    x = 4,398.98

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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.