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Finding the Fourth Proportional to 5,231.51, 7,224.17 and 3,902.91

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Solution

The fourth proportional to 5,231.51, 7,224.17 and 3,902.91 is: 5,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.51 : 7,224.17 = 3,902.91 : x
  2. Step 2: Convert to fraction form
    5,231.51/7,224.17 = 3,902.91/x
  3. Step 3: Cross multiply
    5,231.51x = 7,224.17 × 3,902.91
  4. Step 4: Simplify right side
    5,231.51x = 28,195,265.82
  5. Step 5: Solve for x
    x = 28,195,265.82/5,231.51
  6. Step 6: Final answer
    x = 5,389.51

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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.