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Finding the Fourth Proportional to 3,778.74, 5,215.05 and 2,206.80

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Solution

The fourth proportional to 3,778.74, 5,215.05 and 2,206.80 is: 3,045.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.74 : 5,215.05 = 2,206.80 : x
  2. Step 2: Convert to fraction form
    3,778.74/5,215.05 = 2,206.80/x
  3. Step 3: Cross multiply
    3,778.74x = 5,215.05 × 2,206.80
  4. Step 4: Simplify right side
    3,778.74x = 11,508,572.34
  5. Step 5: Solve for x
    x = 11,508,572.34/3,778.74
  6. Step 6: Final answer
    x = 3,045.61

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