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Finding the Fourth Proportional to 5,608.62, 7,747.75 and 5,313.38

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Solution

The fourth proportional to 5,608.62, 7,747.75 and 5,313.38 is: 7,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.62 : 7,747.75 = 5,313.38 : x
  2. Step 2: Convert to fraction form
    5,608.62/7,747.75 = 5,313.38/x
  3. Step 3: Cross multiply
    5,608.62x = 7,747.75 × 5,313.38
  4. Step 4: Simplify right side
    5,608.62x = 41,166,739.90
  5. Step 5: Solve for x
    x = 41,166,739.90/5,608.62
  6. Step 6: Final answer
    x = 7,339.91

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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.