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Finding the Fourth Proportional to 6,221.77, 8,586.23 and 3,389.33

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Solution

The fourth proportional to 6,221.77, 8,586.23 and 3,389.33 is: 4,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.77 : 8,586.23 = 3,389.33 : x
  2. Step 2: Convert to fraction form
    6,221.77/8,586.23 = 3,389.33/x
  3. Step 3: Cross multiply
    6,221.77x = 8,586.23 × 3,389.33
  4. Step 4: Simplify right side
    6,221.77x = 29,101,566.93
  5. Step 5: Solve for x
    x = 29,101,566.93/6,221.77
  6. Step 6: Final answer
    x = 4,677.38

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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.