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Finding the Fourth Proportional to 5,156.92, 7,735.14 and 1,261.12

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Solution

The fourth proportional to 5,156.92, 7,735.14 and 1,261.12 is: 1,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.92 : 7,735.14 = 1,261.12 : x
  2. Step 2: Convert to fraction form
    5,156.92/7,735.14 = 1,261.12/x
  3. Step 3: Cross multiply
    5,156.92x = 7,735.14 × 1,261.12
  4. Step 4: Simplify right side
    5,156.92x = 9,754,939.76
  5. Step 5: Solve for x
    x = 9,754,939.76/5,156.92
  6. Step 6: Final answer
    x = 1,891.62

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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.