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Finding the Fourth Proportional to 3,690.50, 5,092.89 and 2,034.50

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Solution

The fourth proportional to 3,690.50, 5,092.89 and 2,034.50 is: 2,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.50 : 5,092.89 = 2,034.50 : x
  2. Step 2: Convert to fraction form
    3,690.50/5,092.89 = 2,034.50/x
  3. Step 3: Cross multiply
    3,690.50x = 5,092.89 × 2,034.50
  4. Step 4: Simplify right side
    3,690.50x = 10,361,484.71
  5. Step 5: Solve for x
    x = 10,361,484.71/3,690.50
  6. Step 6: Final answer
    x = 2,807.61

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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.