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Finding the Fourth Proportional to 6,002.20, 8,282.94 and 3,349.54

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Solution

The fourth proportional to 6,002.20, 8,282.94 and 3,349.54 is: 4,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.20 : 8,282.94 = 3,349.54 : x
  2. Step 2: Convert to fraction form
    6,002.20/8,282.94 = 3,349.54/x
  3. Step 3: Cross multiply
    6,002.20x = 8,282.94 × 3,349.54
  4. Step 4: Simplify right side
    6,002.20x = 27,744,038.85
  5. Step 5: Solve for x
    x = 27,744,038.85/6,002.20
  6. Step 6: Final answer
    x = 4,622.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.