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Finding the Fourth Proportional to 3,838.50, 5,760.99 and 1,530

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Solution

The fourth proportional to 3,838.50, 5,760.99 and 1,530 is: 2,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.50 : 5,760.99 = 1,530 : x
  2. Step 2: Convert to fraction form
    3,838.50/5,760.99 = 1,530/x
  3. Step 3: Cross multiply
    3,838.50x = 5,760.99 × 1,530
  4. Step 4: Simplify right side
    3,838.50x = 8,814,314.70
  5. Step 5: Solve for x
    x = 8,814,314.70/3,838.50
  6. Step 6: Final answer
    x = 2,296.29

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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.