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Finding the Fourth Proportional to 5,891.63, 8,832.17 and 2,384.24

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Solution

The fourth proportional to 5,891.63, 8,832.17 and 2,384.24 is: 3,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.63 : 8,832.17 = 2,384.24 : x
  2. Step 2: Convert to fraction form
    5,891.63/8,832.17 = 2,384.24/x
  3. Step 3: Cross multiply
    5,891.63x = 8,832.17 × 2,384.24
  4. Step 4: Simplify right side
    5,891.63x = 21,057,974.80
  5. Step 5: Solve for x
    x = 21,057,974.80/5,891.63
  6. Step 6: Final answer
    x = 3,574.22

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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.