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Finding the Fourth Proportional to 5,748.12, 7,935.27 and 3,761.71

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Solution

The fourth proportional to 5,748.12, 7,935.27 and 3,761.71 is: 5,193.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.12 : 7,935.27 = 3,761.71 : x
  2. Step 2: Convert to fraction form
    5,748.12/7,935.27 = 3,761.71/x
  3. Step 3: Cross multiply
    5,748.12x = 7,935.27 × 3,761.71
  4. Step 4: Simplify right side
    5,748.12x = 29,850,154.75
  5. Step 5: Solve for x
    x = 29,850,154.75/5,748.12
  6. Step 6: Final answer
    x = 5,193.03

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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.