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Finding the Fourth Proportional to 3,777.80, 5,212.61 and 2,098.98

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Solution

The fourth proportional to 3,777.80, 5,212.61 and 2,098.98 is: 2,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.80 : 5,212.61 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    3,777.80/5,212.61 = 2,098.98/x
  3. Step 3: Cross multiply
    3,777.80x = 5,212.61 × 2,098.98
  4. Step 4: Simplify right side
    3,777.80x = 10,941,164.14
  5. Step 5: Solve for x
    x = 10,941,164.14/3,777.80
  6. Step 6: Final answer
    x = 2,896.17

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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.