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Finding the Fourth Proportional to 3,838.59, 5,295.92 and 2,266.11

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Solution

The fourth proportional to 3,838.59, 5,295.92 and 2,266.11 is: 3,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.59 : 5,295.92 = 2,266.11 : x
  2. Step 2: Convert to fraction form
    3,838.59/5,295.92 = 2,266.11/x
  3. Step 3: Cross multiply
    3,838.59x = 5,295.92 × 2,266.11
  4. Step 4: Simplify right side
    3,838.59x = 12,001,125.94
  5. Step 5: Solve for x
    x = 12,001,125.94/3,838.59
  6. Step 6: Final answer
    x = 3,126.44

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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.