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Finding the Fourth Proportional to 3,838.34, 5,297.08 and 2,266.44

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Solution

The fourth proportional to 3,838.34, 5,297.08 and 2,266.44 is: 3,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.34 : 5,297.08 = 2,266.44 : x
  2. Step 2: Convert to fraction form
    3,838.34/5,297.08 = 2,266.44/x
  3. Step 3: Cross multiply
    3,838.34x = 5,297.08 × 2,266.44
  4. Step 4: Simplify right side
    3,838.34x = 12,005,514.00
  5. Step 5: Solve for x
    x = 12,005,514.00/3,838.34
  6. Step 6: Final answer
    x = 3,127.79

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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.