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Finding the Fourth Proportional to 5,734.51, 7,906.06 and 3,741.61

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Solution

The fourth proportional to 5,734.51, 7,906.06 and 3,741.61 is: 5,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.51 : 7,906.06 = 3,741.61 : x
  2. Step 2: Convert to fraction form
    5,734.51/7,906.06 = 3,741.61/x
  3. Step 3: Cross multiply
    5,734.51x = 7,906.06 × 3,741.61
  4. Step 4: Simplify right side
    5,734.51x = 29,581,371.85
  5. Step 5: Solve for x
    x = 29,581,371.85/5,734.51
  6. Step 6: Final answer
    x = 5,158.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.