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Finding the Fourth Proportional to 3,881.41, 5,812.99 and 3,374.60

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Solution

The fourth proportional to 3,881.41, 5,812.99 and 3,374.60 is: 5,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.41 : 5,812.99 = 3,374.60 : x
  2. Step 2: Convert to fraction form
    3,881.41/5,812.99 = 3,374.60/x
  3. Step 3: Cross multiply
    3,881.41x = 5,812.99 × 3,374.60
  4. Step 4: Simplify right side
    3,881.41x = 19,616,516.05
  5. Step 5: Solve for x
    x = 19,616,516.05/3,881.41
  6. Step 6: Final answer
    x = 5,053.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.