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Finding the Fourth Proportional to 5,891.69, 8,832.06 and 1,993.36

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Solution

The fourth proportional to 5,891.69, 8,832.06 and 1,993.36 is: 2,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.69 : 8,832.06 = 1,993.36 : x
  2. Step 2: Convert to fraction form
    5,891.69/8,832.06 = 1,993.36/x
  3. Step 3: Cross multiply
    5,891.69x = 8,832.06 × 1,993.36
  4. Step 4: Simplify right side
    5,891.69x = 17,605,475.21
  5. Step 5: Solve for x
    x = 17,605,475.21/5,891.69
  6. Step 6: Final answer
    x = 2,988.19

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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.