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Finding the Fourth Proportional to 4,672.20, 7,002.15 and 3,433.80

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Solution

The fourth proportional to 4,672.20, 7,002.15 and 3,433.80 is: 5,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.20 : 7,002.15 = 3,433.80 : x
  2. Step 2: Convert to fraction form
    4,672.20/7,002.15 = 3,433.80/x
  3. Step 3: Cross multiply
    4,672.20x = 7,002.15 × 3,433.80
  4. Step 4: Simplify right side
    4,672.20x = 24,043,982.67
  5. Step 5: Solve for x
    x = 24,043,982.67/4,672.20
  6. Step 6: Final answer
    x = 5,146.18

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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.