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Finding the Fourth Proportional to 3,892.07, 5,370.67 and 2,123.66

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Solution

The fourth proportional to 3,892.07, 5,370.67 and 2,123.66 is: 2,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.07 : 5,370.67 = 2,123.66 : x
  2. Step 2: Convert to fraction form
    3,892.07/5,370.67 = 2,123.66/x
  3. Step 3: Cross multiply
    3,892.07x = 5,370.67 × 2,123.66
  4. Step 4: Simplify right side
    3,892.07x = 11,405,477.05
  5. Step 5: Solve for x
    x = 11,405,477.05/3,892.07
  6. Step 6: Final answer
    x = 2,930.44

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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.