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Finding the Fourth Proportional to 5,174.67, 7,763.31 and 1,476.91

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Solution

The fourth proportional to 5,174.67, 7,763.31 and 1,476.91 is: 2,215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.67 : 7,763.31 = 1,476.91 : x
  2. Step 2: Convert to fraction form
    5,174.67/7,763.31 = 1,476.91/x
  3. Step 3: Cross multiply
    5,174.67x = 7,763.31 × 1,476.91
  4. Step 4: Simplify right side
    5,174.67x = 11,465,663.97
  5. Step 5: Solve for x
    x = 11,465,663.97/5,174.67
  6. Step 6: Final answer
    x = 2,215.73

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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.