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Finding the Fourth Proportional to 4,941.69, 6,819.60 and 2,952.42

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Solution

The fourth proportional to 4,941.69, 6,819.60 and 2,952.42 is: 4,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.69 : 6,819.60 = 2,952.42 : x
  2. Step 2: Convert to fraction form
    4,941.69/6,819.60 = 2,952.42/x
  3. Step 3: Cross multiply
    4,941.69x = 6,819.60 × 2,952.42
  4. Step 4: Simplify right side
    4,941.69x = 20,134,323.43
  5. Step 5: Solve for x
    x = 20,134,323.43/4,941.69
  6. Step 6: Final answer
    x = 4,074.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.