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Finding the Fourth Proportional to 5,319.26, 7,324.72 and 5,201.24

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Solution

The fourth proportional to 5,319.26, 7,324.72 and 5,201.24 is: 7,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.26 : 7,324.72 = 5,201.24 : x
  2. Step 2: Convert to fraction form
    5,319.26/7,324.72 = 5,201.24/x
  3. Step 3: Cross multiply
    5,319.26x = 7,324.72 × 5,201.24
  4. Step 4: Simplify right side
    5,319.26x = 38,097,651.47
  5. Step 5: Solve for x
    x = 38,097,651.47/5,319.26
  6. Step 6: Final answer
    x = 7,162.22

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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.