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Finding the Fourth Proportional to 3,874.31, 5,360.63 and 3,377.99

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Solution

The fourth proportional to 3,874.31, 5,360.63 and 3,377.99 is: 4,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.31 : 5,360.63 = 3,377.99 : x
  2. Step 2: Convert to fraction form
    3,874.31/5,360.63 = 3,377.99/x
  3. Step 3: Cross multiply
    3,874.31x = 5,360.63 × 3,377.99
  4. Step 4: Simplify right side
    3,874.31x = 18,108,110.84
  5. Step 5: Solve for x
    x = 18,108,110.84/3,874.31
  6. Step 6: Final answer
    x = 4,673.89

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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.