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Finding the Fourth Proportional to 5,129.30, 7,693.97 and 1,431.78

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Solution

The fourth proportional to 5,129.30, 7,693.97 and 1,431.78 is: 2,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.30 : 7,693.97 = 1,431.78 : x
  2. Step 2: Convert to fraction form
    5,129.30/7,693.97 = 1,431.78/x
  3. Step 3: Cross multiply
    5,129.30x = 7,693.97 × 1,431.78
  4. Step 4: Simplify right side
    5,129.30x = 11,016,065.21
  5. Step 5: Solve for x
    x = 11,016,065.21/5,129.30
  6. Step 6: Final answer
    x = 2,147.68

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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.