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Finding the Fourth Proportional to 3,891.72, 5,837.94 and 2,589.24

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Solution

The fourth proportional to 3,891.72, 5,837.94 and 2,589.24 is: 3,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.72 : 5,837.94 = 2,589.24 : x
  2. Step 2: Convert to fraction form
    3,891.72/5,837.94 = 2,589.24/x
  3. Step 3: Cross multiply
    3,891.72x = 5,837.94 × 2,589.24
  4. Step 4: Simplify right side
    3,891.72x = 15,115,827.77
  5. Step 5: Solve for x
    x = 15,115,827.77/3,891.72
  6. Step 6: Final answer
    x = 3,884.10

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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.