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Finding the Fourth Proportional to 3,690.65, 5,092.94 and 2,012.02

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Solution

The fourth proportional to 3,690.65, 5,092.94 and 2,012.02 is: 2,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.65 : 5,092.94 = 2,012.02 : x
  2. Step 2: Convert to fraction form
    3,690.65/5,092.94 = 2,012.02/x
  3. Step 3: Cross multiply
    3,690.65x = 5,092.94 × 2,012.02
  4. Step 4: Simplify right side
    3,690.65x = 10,247,071.67
  5. Step 5: Solve for x
    x = 10,247,071.67/3,690.65
  6. Step 6: Final answer
    x = 2,776.50

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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.