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Finding the Fourth Proportional to 5,338.68, 7,345.26 and 5,183.16

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Solution

The fourth proportional to 5,338.68, 7,345.26 and 5,183.16 is: 7,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.68 : 7,345.26 = 5,183.16 : x
  2. Step 2: Convert to fraction form
    5,338.68/7,345.26 = 5,183.16/x
  3. Step 3: Cross multiply
    5,338.68x = 7,345.26 × 5,183.16
  4. Step 4: Simplify right side
    5,338.68x = 38,071,657.82
  5. Step 5: Solve for x
    x = 38,071,657.82/5,338.68
  6. Step 6: Final answer
    x = 7,131.29

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Why These Related Problems?

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