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Finding the Fourth Proportional to 5,503.24, 7,593.42 and 3,145.24

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Solution

The fourth proportional to 5,503.24, 7,593.42 and 3,145.24 is: 4,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.24 : 7,593.42 = 3,145.24 : x
  2. Step 2: Convert to fraction form
    5,503.24/7,593.42 = 3,145.24/x
  3. Step 3: Cross multiply
    5,503.24x = 7,593.42 × 3,145.24
  4. Step 4: Simplify right side
    5,503.24x = 23,883,128.32
  5. Step 5: Solve for x
    x = 23,883,128.32/5,503.24
  6. Step 6: Final answer
    x = 4,339.83

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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.