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Finding the Fourth Proportional to 3,583.89, 5,371.05 and 1,914.59

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Solution

The fourth proportional to 3,583.89, 5,371.05 and 1,914.59 is: 2,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.89 : 5,371.05 = 1,914.59 : x
  2. Step 2: Convert to fraction form
    3,583.89/5,371.05 = 1,914.59/x
  3. Step 3: Cross multiply
    3,583.89x = 5,371.05 × 1,914.59
  4. Step 4: Simplify right side
    3,583.89x = 10,283,372.05
  5. Step 5: Solve for x
    x = 10,283,372.05/3,583.89
  6. Step 6: Final answer
    x = 2,869.33

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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.