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Finding the Fourth Proportional to 3,690.98, 5,093.49 and 2,012.46

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Solution

The fourth proportional to 3,690.98, 5,093.49 and 2,012.46 is: 2,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.98 : 5,093.49 = 2,012.46 : x
  2. Step 2: Convert to fraction form
    3,690.98/5,093.49 = 2,012.46/x
  3. Step 3: Cross multiply
    3,690.98x = 5,093.49 × 2,012.46
  4. Step 4: Simplify right side
    3,690.98x = 10,250,444.89
  5. Step 5: Solve for x
    x = 10,250,444.89/3,690.98
  6. Step 6: Final answer
    x = 2,777.16

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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.