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Finding the Fourth Proportional to 3,478.50, 5,238.59 and 3,167.46

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Solution

The fourth proportional to 3,478.50, 5,238.59 and 3,167.46 is: 4,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.50 : 5,238.59 = 3,167.46 : x
  2. Step 2: Convert to fraction form
    3,478.50/5,238.59 = 3,167.46/x
  3. Step 3: Cross multiply
    3,478.50x = 5,238.59 × 3,167.46
  4. Step 4: Simplify right side
    3,478.50x = 16,593,008.44
  5. Step 5: Solve for x
    x = 16,593,008.44/3,478.50
  6. Step 6: Final answer
    x = 4,770.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.