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Finding the Fourth Proportional to 3,478.53, 5,211.15 and 2,069.94

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Solution

The fourth proportional to 3,478.53, 5,211.15 and 2,069.94 is: 3,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.53 : 5,211.15 = 2,069.94 : x
  2. Step 2: Convert to fraction form
    3,478.53/5,211.15 = 2,069.94/x
  3. Step 3: Cross multiply
    3,478.53x = 5,211.15 × 2,069.94
  4. Step 4: Simplify right side
    3,478.53x = 10,786,767.83
  5. Step 5: Solve for x
    x = 10,786,767.83/3,478.53
  6. Step 6: Final answer
    x = 3,100.96

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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.