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Finding the Fourth Proportional to 5,832, 8,748 and 3,889.22

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Solution

The fourth proportional to 5,832, 8,748 and 3,889.22 is: 5,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832 : 8,748 = 3,889.22 : x
  2. Step 2: Convert to fraction form
    5,832/8,748 = 3,889.22/x
  3. Step 3: Cross multiply
    5,832x = 8,748 × 3,889.22
  4. Step 4: Simplify right side
    5,832x = 34,022,852.82
  5. Step 5: Solve for x
    x = 34,022,852.82/5,832
  6. Step 6: Final answer
    x = 5,833.82

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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.