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Finding the Fourth Proportional to 5,002.24, 7,505 and 2,404.84

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Solution

The fourth proportional to 5,002.24, 7,505 and 2,404.84 is: 3,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.24 : 7,505 = 2,404.84 : x
  2. Step 2: Convert to fraction form
    5,002.24/7,505 = 2,404.84/x
  3. Step 3: Cross multiply
    5,002.24x = 7,505 × 2,404.84
  4. Step 4: Simplify right side
    5,002.24x = 18,048,324.20
  5. Step 5: Solve for x
    x = 18,048,324.20/5,002.24
  6. Step 6: Final answer
    x = 3,608.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.