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Finding the Fourth Proportional to 3,690.50, 5,092.90 and 2,011.88

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Solution

The fourth proportional to 3,690.50, 5,092.90 and 2,011.88 is: 2,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.50 : 5,092.90 = 2,011.88 : x
  2. Step 2: Convert to fraction form
    3,690.50/5,092.90 = 2,011.88/x
  3. Step 3: Cross multiply
    3,690.50x = 5,092.90 × 2,011.88
  4. Step 4: Simplify right side
    3,690.50x = 10,246,292.26
  5. Step 5: Solve for x
    x = 10,246,292.26/3,690.50
  6. Step 6: Final answer
    x = 2,776.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.