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Finding the Fourth Proportional to 5,741.26, 7,920.64 and 3,502.96

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Solution

The fourth proportional to 5,741.26, 7,920.64 and 3,502.96 is: 4,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.26 : 7,920.64 = 3,502.96 : x
  2. Step 2: Convert to fraction form
    5,741.26/7,920.64 = 3,502.96/x
  3. Step 3: Cross multiply
    5,741.26x = 7,920.64 × 3,502.96
  4. Step 4: Simplify right side
    5,741.26x = 27,745,685.09
  5. Step 5: Solve for x
    x = 27,745,685.09/5,741.26
  6. Step 6: Final answer
    x = 4,832.68

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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.