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Finding the Fourth Proportional to 5,149.98, 7,727.40 and 1,863.72

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Solution

The fourth proportional to 5,149.98, 7,727.40 and 1,863.72 is: 2,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.98 : 7,727.40 = 1,863.72 : x
  2. Step 2: Convert to fraction form
    5,149.98/7,727.40 = 1,863.72/x
  3. Step 3: Cross multiply
    5,149.98x = 7,727.40 × 1,863.72
  4. Step 4: Simplify right side
    5,149.98x = 14,401,709.93
  5. Step 5: Solve for x
    x = 14,401,709.93/5,149.98
  6. Step 6: Final answer
    x = 2,796.46

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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.