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Finding the Fourth Proportional to 3,778.40, 5,213.13 and 2,380.34

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Solution

The fourth proportional to 3,778.40, 5,213.13 and 2,380.34 is: 3,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.40 : 5,213.13 = 2,380.34 : x
  2. Step 2: Convert to fraction form
    3,778.40/5,213.13 = 2,380.34/x
  3. Step 3: Cross multiply
    3,778.40x = 5,213.13 × 2,380.34
  4. Step 4: Simplify right side
    3,778.40x = 12,409,021.86
  5. Step 5: Solve for x
    x = 12,409,021.86/3,778.40
  6. Step 6: Final answer
    x = 3,284.20

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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.