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Finding the Fourth Proportional to 4,813.14, 6,641.86 and 2,823.55

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Solution

The fourth proportional to 4,813.14, 6,641.86 and 2,823.55 is: 3,896.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.14 : 6,641.86 = 2,823.55 : x
  2. Step 2: Convert to fraction form
    4,813.14/6,641.86 = 2,823.55/x
  3. Step 3: Cross multiply
    4,813.14x = 6,641.86 × 2,823.55
  4. Step 4: Simplify right side
    4,813.14x = 18,753,623.80
  5. Step 5: Solve for x
    x = 18,753,623.80/4,813.14
  6. Step 6: Final answer
    x = 3,896.34

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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.