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Finding the Fourth Proportional to 3,791.34, 5,688.09 and 2,752.38

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Solution

The fourth proportional to 3,791.34, 5,688.09 and 2,752.38 is: 4,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.34 : 5,688.09 = 2,752.38 : x
  2. Step 2: Convert to fraction form
    3,791.34/5,688.09 = 2,752.38/x
  3. Step 3: Cross multiply
    3,791.34x = 5,688.09 × 2,752.38
  4. Step 4: Simplify right side
    3,791.34x = 15,655,785.15
  5. Step 5: Solve for x
    x = 15,655,785.15/3,791.34
  6. Step 6: Final answer
    x = 4,129.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.