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Finding the Fourth Proportional to 3,834.63, 5,750.70 and 1,494.48

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Solution

The fourth proportional to 3,834.63, 5,750.70 and 1,494.48 is: 2,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.63 : 5,750.70 = 1,494.48 : x
  2. Step 2: Convert to fraction form
    3,834.63/5,750.70 = 1,494.48/x
  3. Step 3: Cross multiply
    3,834.63x = 5,750.70 × 1,494.48
  4. Step 4: Simplify right side
    3,834.63x = 8,594,306.14
  5. Step 5: Solve for x
    x = 8,594,306.14/3,834.63
  6. Step 6: Final answer
    x = 2,241.23

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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.