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Finding the Fourth Proportional to 6,138.54, 8,470.82 and 3,620.76

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Solution

The fourth proportional to 6,138.54, 8,470.82 and 3,620.76 is: 4,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.54 : 8,470.82 = 3,620.76 : x
  2. Step 2: Convert to fraction form
    6,138.54/8,470.82 = 3,620.76/x
  3. Step 3: Cross multiply
    6,138.54x = 8,470.82 × 3,620.76
  4. Step 4: Simplify right side
    6,138.54x = 30,670,788.12
  5. Step 5: Solve for x
    x = 30,670,788.12/6,138.54
  6. Step 6: Final answer
    x = 4,996.43

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