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Finding the Fourth Proportional to 5,156.82, 7,735.22 and 1,261.18

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Solution

The fourth proportional to 5,156.82, 7,735.22 and 1,261.18 is: 1,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.82 : 7,735.22 = 1,261.18 : x
  2. Step 2: Convert to fraction form
    5,156.82/7,735.22 = 1,261.18/x
  3. Step 3: Cross multiply
    5,156.82x = 7,735.22 × 1,261.18
  4. Step 4: Simplify right side
    5,156.82x = 9,755,504.76
  5. Step 5: Solve for x
    x = 9,755,504.76/5,156.82
  6. Step 6: Final answer
    x = 1,891.77

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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.