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Finding the Fourth Proportional to 5,234.27, 7,215.82 and 3,741.64

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Solution

The fourth proportional to 5,234.27, 7,215.82 and 3,741.64 is: 5,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.27 : 7,215.82 = 3,741.64 : x
  2. Step 2: Convert to fraction form
    5,234.27/7,215.82 = 3,741.64/x
  3. Step 3: Cross multiply
    5,234.27x = 7,215.82 × 3,741.64
  4. Step 4: Simplify right side
    5,234.27x = 26,998,973.35
  5. Step 5: Solve for x
    x = 26,998,973.35/5,234.27
  6. Step 6: Final answer
    x = 5,158.12

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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.