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Finding the Fourth Proportional to 3,690, 5,092.13 and 2,011.42

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Solution

The fourth proportional to 3,690, 5,092.13 and 2,011.42 is: 2,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690 : 5,092.13 = 2,011.42 : x
  2. Step 2: Convert to fraction form
    3,690/5,092.13 = 2,011.42/x
  3. Step 3: Cross multiply
    3,690x = 5,092.13 × 2,011.42
  4. Step 4: Simplify right side
    3,690x = 10,242,412.12
  5. Step 5: Solve for x
    x = 10,242,412.12/3,690
  6. Step 6: Final answer
    x = 2,775.72

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