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Finding the Fourth Proportional to 5,751, 7,933.14 and 3,761.10

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Solution

The fourth proportional to 5,751, 7,933.14 and 3,761.10 is: 5,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751 : 7,933.14 = 3,761.10 : x
  2. Step 2: Convert to fraction form
    5,751/7,933.14 = 3,761.10/x
  3. Step 3: Cross multiply
    5,751x = 7,933.14 × 3,761.10
  4. Step 4: Simplify right side
    5,751x = 29,837,332.85
  5. Step 5: Solve for x
    x = 29,837,332.85/5,751
  6. Step 6: Final answer
    x = 5,188.20

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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.