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Finding the Fourth Proportional to 3,220.54, 4,832.64 and 1,371.47

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Solution

The fourth proportional to 3,220.54, 4,832.64 and 1,371.47 is: 2,057.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.54 : 4,832.64 = 1,371.47 : x
  2. Step 2: Convert to fraction form
    3,220.54/4,832.64 = 1,371.47/x
  3. Step 3: Cross multiply
    3,220.54x = 4,832.64 × 1,371.47
  4. Step 4: Simplify right side
    3,220.54x = 6,627,792.76
  5. Step 5: Solve for x
    x = 6,627,792.76/3,220.54
  6. Step 6: Final answer
    x = 2,057.97

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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.