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Finding the Fourth Proportional to 3,930.59, 5,896.90 and 1,157.15

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Solution

The fourth proportional to 3,930.59, 5,896.90 and 1,157.15 is: 1,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.59 : 5,896.90 = 1,157.15 : x
  2. Step 2: Convert to fraction form
    3,930.59/5,896.90 = 1,157.15/x
  3. Step 3: Cross multiply
    3,930.59x = 5,896.90 × 1,157.15
  4. Step 4: Simplify right side
    3,930.59x = 6,823,614.02
  5. Step 5: Solve for x
    x = 6,823,614.02/3,930.59
  6. Step 6: Final answer
    x = 1,736.03

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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.