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Finding the Fourth Proportional to 4,967, 7,452.54 and 2,192.20

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Solution

The fourth proportional to 4,967, 7,452.54 and 2,192.20 is: 3,289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967 : 7,452.54 = 2,192.20 : x
  2. Step 2: Convert to fraction form
    4,967/7,452.54 = 2,192.20/x
  3. Step 3: Cross multiply
    4,967x = 7,452.54 × 2,192.20
  4. Step 4: Simplify right side
    4,967x = 16,337,458.19
  5. Step 5: Solve for x
    x = 16,337,458.19/4,967
  6. Step 6: Final answer
    x = 3,289.20

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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.