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Finding the Fourth Proportional to 3,219.33, 4,829.31 and 1,027.54

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Solution

The fourth proportional to 3,219.33, 4,829.31 and 1,027.54 is: 1,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.33 : 4,829.31 = 1,027.54 : x
  2. Step 2: Convert to fraction form
    3,219.33/4,829.31 = 1,027.54/x
  3. Step 3: Cross multiply
    3,219.33x = 4,829.31 × 1,027.54
  4. Step 4: Simplify right side
    3,219.33x = 4,962,297.12
  5. Step 5: Solve for x
    x = 4,962,297.12/3,219.33
  6. Step 6: Final answer
    x = 1,541.41

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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.