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Finding the Fourth Proportional to 4,813.08, 6,642.24 and 2,823.36

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Solution

The fourth proportional to 4,813.08, 6,642.24 and 2,823.36 is: 3,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.08 : 6,642.24 = 2,823.36 : x
  2. Step 2: Convert to fraction form
    4,813.08/6,642.24 = 2,823.36/x
  3. Step 3: Cross multiply
    4,813.08x = 6,642.24 × 2,823.36
  4. Step 4: Simplify right side
    4,813.08x = 18,753,434.73
  5. Step 5: Solve for x
    x = 18,753,434.73/4,813.08
  6. Step 6: Final answer
    x = 3,896.35

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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.