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Finding the Fourth Proportional to 3,462.63, 5,198.30 and 2,777.82

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Solution

The fourth proportional to 3,462.63, 5,198.30 and 2,777.82 is: 4,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.63 : 5,198.30 = 2,777.82 : x
  2. Step 2: Convert to fraction form
    3,462.63/5,198.30 = 2,777.82/x
  3. Step 3: Cross multiply
    3,462.63x = 5,198.30 × 2,777.82
  4. Step 4: Simplify right side
    3,462.63x = 14,439,927.82
  5. Step 5: Solve for x
    x = 14,439,927.82/3,462.63
  6. Step 6: Final answer
    x = 4,170.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.