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Finding the Fourth Proportional to 3,223.99, 4,829.81 and 2,182.20

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Solution

The fourth proportional to 3,223.99, 4,829.81 and 2,182.20 is: 3,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.99 : 4,829.81 = 2,182.20 : x
  2. Step 2: Convert to fraction form
    3,223.99/4,829.81 = 2,182.20/x
  3. Step 3: Cross multiply
    3,223.99x = 4,829.81 × 2,182.20
  4. Step 4: Simplify right side
    3,223.99x = 10,539,587.23
  5. Step 5: Solve for x
    x = 10,539,587.23/3,223.99
  6. Step 6: Final answer
    x = 3,269.11

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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.