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Finding the Fourth Proportional to 5,991.90, 8,983.80 and 3,072.66

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Solution

The fourth proportional to 5,991.90, 8,983.80 and 3,072.66 is: 4,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.90 : 8,983.80 = 3,072.66 : x
  2. Step 2: Convert to fraction form
    5,991.90/8,983.80 = 3,072.66/x
  3. Step 3: Cross multiply
    5,991.90x = 8,983.80 × 3,072.66
  4. Step 4: Simplify right side
    5,991.90x = 27,604,162.91
  5. Step 5: Solve for x
    x = 27,604,162.91/5,991.90
  6. Step 6: Final answer
    x = 4,606.91

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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.