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Finding the Fourth Proportional to 4,751.67, 7,130.21 and 3,192.42

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Solution

The fourth proportional to 4,751.67, 7,130.21 and 3,192.42 is: 4,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.67 : 7,130.21 = 3,192.42 : x
  2. Step 2: Convert to fraction form
    4,751.67/7,130.21 = 3,192.42/x
  3. Step 3: Cross multiply
    4,751.67x = 7,130.21 × 3,192.42
  4. Step 4: Simplify right side
    4,751.67x = 22,762,609.05
  5. Step 5: Solve for x
    x = 22,762,609.05/4,751.67
  6. Step 6: Final answer
    x = 4,790.44

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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.