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Finding the Fourth Proportional to 5,991.80, 8,983.94 and 1,830.42

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Solution

The fourth proportional to 5,991.80, 8,983.94 and 1,830.42 is: 2,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.80 : 8,983.94 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    5,991.80/8,983.94 = 1,830.42/x
  3. Step 3: Cross multiply
    5,991.80x = 8,983.94 × 1,830.42
  4. Step 4: Simplify right side
    5,991.80x = 16,444,374.30
  5. Step 5: Solve for x
    x = 16,444,374.30/5,991.80
  6. Step 6: Final answer
    x = 2,744.48

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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.