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Finding the Fourth Proportional to 3,682.59, 5,079.85 and 2,266.98

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Solution

The fourth proportional to 3,682.59, 5,079.85 and 2,266.98 is: 3,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.59 : 5,079.85 = 2,266.98 : x
  2. Step 2: Convert to fraction form
    3,682.59/5,079.85 = 2,266.98/x
  3. Step 3: Cross multiply
    3,682.59x = 5,079.85 × 2,266.98
  4. Step 4: Simplify right side
    3,682.59x = 11,515,918.35
  5. Step 5: Solve for x
    x = 11,515,918.35/3,682.59
  6. Step 6: Final answer
    x = 3,127.12

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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.