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Finding the Fourth Proportional to 5,157.57, 7,736.50 and 1,261.97

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Solution

The fourth proportional to 5,157.57, 7,736.50 and 1,261.97 is: 1,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.57 : 7,736.50 = 1,261.97 : x
  2. Step 2: Convert to fraction form
    5,157.57/7,736.50 = 1,261.97/x
  3. Step 3: Cross multiply
    5,157.57x = 7,736.50 × 1,261.97
  4. Step 4: Simplify right side
    5,157.57x = 9,763,224.60
  5. Step 5: Solve for x
    x = 9,763,224.60/5,157.57
  6. Step 6: Final answer
    x = 1,892.99

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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.