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Finding the Fourth Proportional to 4,952.86, 7,429.52 and 2,759.94

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Solution

The fourth proportional to 4,952.86, 7,429.52 and 2,759.94 is: 4,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.86 : 7,429.52 = 2,759.94 : x
  2. Step 2: Convert to fraction form
    4,952.86/7,429.52 = 2,759.94/x
  3. Step 3: Cross multiply
    4,952.86x = 7,429.52 × 2,759.94
  4. Step 4: Simplify right side
    4,952.86x = 20,505,029.43
  5. Step 5: Solve for x
    x = 20,505,029.43/4,952.86
  6. Step 6: Final answer
    x = 4,140.04

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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.