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Finding the Fourth Proportional to 4,812.14, 6,640.48 and 2,822.55

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Solution

The fourth proportional to 4,812.14, 6,640.48 and 2,822.55 is: 3,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.14 : 6,640.48 = 2,822.55 : x
  2. Step 2: Convert to fraction form
    4,812.14/6,640.48 = 2,822.55/x
  3. Step 3: Cross multiply
    4,812.14x = 6,640.48 × 2,822.55
  4. Step 4: Simplify right side
    4,812.14x = 18,743,065.45
  5. Step 5: Solve for x
    x = 18,743,065.45/4,812.14
  6. Step 6: Final answer
    x = 3,894.95

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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.