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Finding the Fourth Proportional to 3,219.11, 4,829.01 and 1,027.33

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Solution

The fourth proportional to 3,219.11, 4,829.01 and 1,027.33 is: 1,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.11 : 4,829.01 = 1,027.33 : x
  2. Step 2: Convert to fraction form
    3,219.11/4,829.01 = 1,027.33/x
  3. Step 3: Cross multiply
    3,219.11x = 4,829.01 × 1,027.33
  4. Step 4: Simplify right side
    3,219.11x = 4,960,986.84
  5. Step 5: Solve for x
    x = 4,960,986.84/3,219.11
  6. Step 6: Final answer
    x = 1,541.11

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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.