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Finding the Fourth Proportional to 6,586.88, 9,855.60 and 3,944.66

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Solution

The fourth proportional to 6,586.88, 9,855.60 and 3,944.66 is: 5,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.88 : 9,855.60 = 3,944.66 : x
  2. Step 2: Convert to fraction form
    6,586.88/9,855.60 = 3,944.66/x
  3. Step 3: Cross multiply
    6,586.88x = 9,855.60 × 3,944.66
  4. Step 4: Simplify right side
    6,586.88x = 38,876,991.10
  5. Step 5: Solve for x
    x = 38,876,991.10/6,586.88
  6. Step 6: Final answer
    x = 5,902.19

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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.