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Finding the Fourth Proportional to 5,982.66, 8,976.42 and 2,285.82

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Solution

The fourth proportional to 5,982.66, 8,976.42 and 2,285.82 is: 3,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.66 : 8,976.42 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    5,982.66/8,976.42 = 2,285.82/x
  3. Step 3: Cross multiply
    5,982.66x = 8,976.42 × 2,285.82
  4. Step 4: Simplify right side
    5,982.66x = 20,518,480.36
  5. Step 5: Solve for x
    x = 20,518,480.36/5,982.66
  6. Step 6: Final answer
    x = 3,429.66

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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.