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Finding the Fourth Proportional to 5,156.22, 7,734.26 and 1,260.66

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Solution

The fourth proportional to 5,156.22, 7,734.26 and 1,260.66 is: 1,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.22 : 7,734.26 = 1,260.66 : x
  2. Step 2: Convert to fraction form
    5,156.22/7,734.26 = 1,260.66/x
  3. Step 3: Cross multiply
    5,156.22x = 7,734.26 × 1,260.66
  4. Step 4: Simplify right side
    5,156.22x = 9,750,272.21
  5. Step 5: Solve for x
    x = 9,750,272.21/5,156.22
  6. Step 6: Final answer
    x = 1,890.97

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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.