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Finding the Fourth Proportional to 3,791.78, 5,233.08 and 2,113.34

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Solution

The fourth proportional to 3,791.78, 5,233.08 and 2,113.34 is: 2,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.78 : 5,233.08 = 2,113.34 : x
  2. Step 2: Convert to fraction form
    3,791.78/5,233.08 = 2,113.34/x
  3. Step 3: Cross multiply
    3,791.78x = 5,233.08 × 2,113.34
  4. Step 4: Simplify right side
    3,791.78x = 11,059,277.29
  5. Step 5: Solve for x
    x = 11,059,277.29/3,791.78
  6. Step 6: Final answer
    x = 2,916.65

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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.