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Finding the Fourth Proportional to 6,188.81, 9,270.84 and 3,722.27

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Solution

The fourth proportional to 6,188.81, 9,270.84 and 3,722.27 is: 5,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.81 : 9,270.84 = 3,722.27 : x
  2. Step 2: Convert to fraction form
    6,188.81/9,270.84 = 3,722.27/x
  3. Step 3: Cross multiply
    6,188.81x = 9,270.84 × 3,722.27
  4. Step 4: Simplify right side
    6,188.81x = 34,508,569.61
  5. Step 5: Solve for x
    x = 34,508,569.61/6,188.81
  6. Step 6: Final answer
    x = 5,575.96

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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.