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Finding the Fourth Proportional to 3,778.81, 5,214.40 and 3,500.17

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Solution

The fourth proportional to 3,778.81, 5,214.40 and 3,500.17 is: 4,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.81 : 5,214.40 = 3,500.17 : x
  2. Step 2: Convert to fraction form
    3,778.81/5,214.40 = 3,500.17/x
  3. Step 3: Cross multiply
    3,778.81x = 5,214.40 × 3,500.17
  4. Step 4: Simplify right side
    3,778.81x = 18,251,297.34
  5. Step 5: Solve for x
    x = 18,251,297.34/3,778.81
  6. Step 6: Final answer
    x = 4,829.90

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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.