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Finding the Fourth Proportional to 4,817.52, 6,640.92 and 3,767.76

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Solution

The fourth proportional to 4,817.52, 6,640.92 and 3,767.76 is: 5,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.52 : 6,640.92 = 3,767.76 : x
  2. Step 2: Convert to fraction form
    4,817.52/6,640.92 = 3,767.76/x
  3. Step 3: Cross multiply
    4,817.52x = 6,640.92 × 3,767.76
  4. Step 4: Simplify right side
    4,817.52x = 25,021,392.74
  5. Step 5: Solve for x
    x = 25,021,392.74/4,817.52
  6. Step 6: Final answer
    x = 5,193.83

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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.