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Finding the Fourth Proportional to 4,739.73, 7,113.47 and 3,354.41

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Solution

The fourth proportional to 4,739.73, 7,113.47 and 3,354.41 is: 5,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.73 : 7,113.47 = 3,354.41 : x
  2. Step 2: Convert to fraction form
    4,739.73/7,113.47 = 3,354.41/x
  3. Step 3: Cross multiply
    4,739.73x = 7,113.47 × 3,354.41
  4. Step 4: Simplify right side
    4,739.73x = 23,861,514.78
  5. Step 5: Solve for x
    x = 23,861,514.78/4,739.73
  6. Step 6: Final answer
    x = 5,034.36

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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.