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Finding the Fourth Proportional to 4,812.31, 6,641.07 and 2,822.92

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Solution

The fourth proportional to 4,812.31, 6,641.07 and 2,822.92 is: 3,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.31 : 6,641.07 = 2,822.92 : x
  2. Step 2: Convert to fraction form
    4,812.31/6,641.07 = 2,822.92/x
  3. Step 3: Cross multiply
    4,812.31x = 6,641.07 × 2,822.92
  4. Step 4: Simplify right side
    4,812.31x = 18,747,209.32
  5. Step 5: Solve for x
    x = 18,747,209.32/4,812.31
  6. Step 6: Final answer
    x = 3,895.68

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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.