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Finding the Fourth Proportional to 3,311.43, 4,967.17 and 3,118.80

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Solution

The fourth proportional to 3,311.43, 4,967.17 and 3,118.80 is: 4,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.43 : 4,967.17 = 3,118.80 : x
  2. Step 2: Convert to fraction form
    3,311.43/4,967.17 = 3,118.80/x
  3. Step 3: Cross multiply
    3,311.43x = 4,967.17 × 3,118.80
  4. Step 4: Simplify right side
    3,311.43x = 15,491,638.17
  5. Step 5: Solve for x
    x = 15,491,638.17/3,311.43
  6. Step 6: Final answer
    x = 4,678.23

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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.