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Finding the Fourth Proportional to 4,934.26, 7,400.04 and 1,471.42

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Solution

The fourth proportional to 4,934.26, 7,400.04 and 1,471.42 is: 2,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.26 : 7,400.04 = 1,471.42 : x
  2. Step 2: Convert to fraction form
    4,934.26/7,400.04 = 1,471.42/x
  3. Step 3: Cross multiply
    4,934.26x = 7,400.04 × 1,471.42
  4. Step 4: Simplify right side
    4,934.26x = 10,888,566.86
  5. Step 5: Solve for x
    x = 10,888,566.86/4,934.26
  6. Step 6: Final answer
    x = 2,206.73

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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.