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Finding the Fourth Proportional to 3,481.71, 5,220.46 and 1,370.81

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Solution

The fourth proportional to 3,481.71, 5,220.46 and 1,370.81 is: 2,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.71 : 5,220.46 = 1,370.81 : x
  2. Step 2: Convert to fraction form
    3,481.71/5,220.46 = 1,370.81/x
  3. Step 3: Cross multiply
    3,481.71x = 5,220.46 × 1,370.81
  4. Step 4: Simplify right side
    3,481.71x = 7,156,258.77
  5. Step 5: Solve for x
    x = 7,156,258.77/3,481.71
  6. Step 6: Final answer
    x = 2,055.39

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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.