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Finding the Fourth Proportional to 3,762.78, 5,194.71 and 2,818.23

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Solution

The fourth proportional to 3,762.78, 5,194.71 and 2,818.23 is: 3,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.78 : 5,194.71 = 2,818.23 : x
  2. Step 2: Convert to fraction form
    3,762.78/5,194.71 = 2,818.23/x
  3. Step 3: Cross multiply
    3,762.78x = 5,194.71 × 2,818.23
  4. Step 4: Simplify right side
    3,762.78x = 14,639,887.56
  5. Step 5: Solve for x
    x = 14,639,887.56/3,762.78
  6. Step 6: Final answer
    x = 3,890.71

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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.