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Finding the Fourth Proportional to 3,578.20, 5,381.70 and 3,203.80

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Solution

The fourth proportional to 3,578.20, 5,381.70 and 3,203.80 is: 4,818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.20 : 5,381.70 = 3,203.80 : x
  2. Step 2: Convert to fraction form
    3,578.20/5,381.70 = 3,203.80/x
  3. Step 3: Cross multiply
    3,578.20x = 5,381.70 × 3,203.80
  4. Step 4: Simplify right side
    3,578.20x = 17,241,890.46
  5. Step 5: Solve for x
    x = 17,241,890.46/3,578.20
  6. Step 6: Final answer
    x = 4,818.59

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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.