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Finding the Fourth Proportional to 5,239.53, 7,231.77 and 3,002.67

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Solution

The fourth proportional to 5,239.53, 7,231.77 and 3,002.67 is: 4,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.53 : 7,231.77 = 3,002.67 : x
  2. Step 2: Convert to fraction form
    5,239.53/7,231.77 = 3,002.67/x
  3. Step 3: Cross multiply
    5,239.53x = 7,231.77 × 3,002.67
  4. Step 4: Simplify right side
    5,239.53x = 21,714,618.83
  5. Step 5: Solve for x
    x = 21,714,618.83/5,239.53
  6. Step 6: Final answer
    x = 4,144.38

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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.