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Finding the Fourth Proportional to 5,210.52, 7,812.69 and 2,092

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Solution

The fourth proportional to 5,210.52, 7,812.69 and 2,092 is: 3,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.52 : 7,812.69 = 2,092 : x
  2. Step 2: Convert to fraction form
    5,210.52/7,812.69 = 2,092/x
  3. Step 3: Cross multiply
    5,210.52x = 7,812.69 × 2,092
  4. Step 4: Simplify right side
    5,210.52x = 16,344,147.48
  5. Step 5: Solve for x
    x = 16,344,147.48/5,210.52
  6. Step 6: Final answer
    x = 3,136.76

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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.