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Finding the Fourth Proportional to 3,876.89, 5,350.57 and 2,304.99

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Solution

The fourth proportional to 3,876.89, 5,350.57 and 2,304.99 is: 3,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.89 : 5,350.57 = 2,304.99 : x
  2. Step 2: Convert to fraction form
    3,876.89/5,350.57 = 2,304.99/x
  3. Step 3: Cross multiply
    3,876.89x = 5,350.57 × 2,304.99
  4. Step 4: Simplify right side
    3,876.89x = 12,333,010.34
  5. Step 5: Solve for x
    x = 12,333,010.34/3,876.89
  6. Step 6: Final answer
    x = 3,181.16

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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.