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Finding the Fourth Proportional to 3,834.96, 5,753.21 and 1,369.71

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Solution

The fourth proportional to 3,834.96, 5,753.21 and 1,369.71 is: 2,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.96 : 5,753.21 = 1,369.71 : x
  2. Step 2: Convert to fraction form
    3,834.96/5,753.21 = 1,369.71/x
  3. Step 3: Cross multiply
    3,834.96x = 5,753.21 × 1,369.71
  4. Step 4: Simplify right side
    3,834.96x = 7,880,222.42
  5. Step 5: Solve for x
    x = 7,880,222.42/3,834.96
  6. Step 6: Final answer
    x = 2,054.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.