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Finding the Fourth Proportional to 6,588.56, 9,092.28 and 3,794

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Solution

The fourth proportional to 6,588.56, 9,092.28 and 3,794 is: 5,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.56 : 9,092.28 = 3,794 : x
  2. Step 2: Convert to fraction form
    6,588.56/9,092.28 = 3,794/x
  3. Step 3: Cross multiply
    6,588.56x = 9,092.28 × 3,794
  4. Step 4: Simplify right side
    6,588.56x = 34,496,110.32
  5. Step 5: Solve for x
    x = 34,496,110.32/6,588.56
  6. Step 6: Final answer
    x = 5,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.