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Finding the Fourth Proportional to 5,748.55, 7,930.92 and 3,760.24

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Solution

The fourth proportional to 5,748.55, 7,930.92 and 3,760.24 is: 5,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.55 : 7,930.92 = 3,760.24 : x
  2. Step 2: Convert to fraction form
    5,748.55/7,930.92 = 3,760.24/x
  3. Step 3: Cross multiply
    5,748.55x = 7,930.92 × 3,760.24
  4. Step 4: Simplify right side
    5,748.55x = 29,822,162.62
  5. Step 5: Solve for x
    x = 29,822,162.62/5,748.55
  6. Step 6: Final answer
    x = 5,187.77

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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.