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Finding the Fourth Proportional to 5,991.84, 8,989.38 and 1,832.00

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Solution

The fourth proportional to 5,991.84, 8,989.38 and 1,832.00 is: 2,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991.84 : 8,989.38 = 1,832.00 : x
  2. Step 2: Convert to fraction form
    5,991.84/8,989.38 = 1,832.00/x
  3. Step 3: Cross multiply
    5,991.84x = 8,989.38 × 1,832.00
  4. Step 4: Simplify right side
    5,991.84x = 16,468,499.21
  5. Step 5: Solve for x
    x = 16,468,499.21/5,991.84
  6. Step 6: Final answer
    x = 2,748.49

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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.