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Finding the Fourth Proportional to 5,877, 8,092.28 and 5,406.80

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Solution

The fourth proportional to 5,877, 8,092.28 and 5,406.80 is: 7,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877 : 8,092.28 = 5,406.80 : x
  2. Step 2: Convert to fraction form
    5,877/8,092.28 = 5,406.80/x
  3. Step 3: Cross multiply
    5,877x = 8,092.28 × 5,406.80
  4. Step 4: Simplify right side
    5,877x = 43,753,272.01
  5. Step 5: Solve for x
    x = 43,753,272.01/5,877
  6. Step 6: Final answer
    x = 7,444.83

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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.