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Finding the Fourth Proportional to 4,941.50, 6,821.76 and 3,819.90

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Solution

The fourth proportional to 4,941.50, 6,821.76 and 3,819.90 is: 5,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.50 : 6,821.76 = 3,819.90 : x
  2. Step 2: Convert to fraction form
    4,941.50/6,821.76 = 3,819.90/x
  3. Step 3: Cross multiply
    4,941.50x = 6,821.76 × 3,819.90
  4. Step 4: Simplify right side
    4,941.50x = 26,058,421.92
  5. Step 5: Solve for x
    x = 26,058,421.92/4,941.50
  6. Step 6: Final answer
    x = 5,273.39

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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.