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Finding the Fourth Proportional to 6,002.80, 8,283.05 and 3,349.87

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Solution

The fourth proportional to 6,002.80, 8,283.05 and 3,349.87 is: 4,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.80 : 8,283.05 = 3,349.87 : x
  2. Step 2: Convert to fraction form
    6,002.80/8,283.05 = 3,349.87/x
  3. Step 3: Cross multiply
    6,002.80x = 8,283.05 × 3,349.87
  4. Step 4: Simplify right side
    6,002.80x = 27,747,123.95
  5. Step 5: Solve for x
    x = 27,747,123.95/6,002.80
  6. Step 6: Final answer
    x = 4,622.36

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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.