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Finding the Fourth Proportional to 5,174.76, 7,765.32 and 2,054.22

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Solution

The fourth proportional to 5,174.76, 7,765.32 and 2,054.22 is: 3,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.76 : 7,765.32 = 2,054.22 : x
  2. Step 2: Convert to fraction form
    5,174.76/7,765.32 = 2,054.22/x
  3. Step 3: Cross multiply
    5,174.76x = 7,765.32 × 2,054.22
  4. Step 4: Simplify right side
    5,174.76x = 15,951,675.65
  5. Step 5: Solve for x
    x = 15,951,675.65/5,174.76
  6. Step 6: Final answer
    x = 3,082.59

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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.