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Finding the Fourth Proportional to 5,209.24, 7,813.82 and 4,427.38

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Solution

The fourth proportional to 5,209.24, 7,813.82 and 4,427.38 is: 6,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.24 : 7,813.82 = 4,427.38 : x
  2. Step 2: Convert to fraction form
    5,209.24/7,813.82 = 4,427.38/x
  3. Step 3: Cross multiply
    5,209.24x = 7,813.82 × 4,427.38
  4. Step 4: Simplify right side
    5,209.24x = 34,594,768.30
  5. Step 5: Solve for x
    x = 34,594,768.30/5,209.24
  6. Step 6: Final answer
    x = 6,641.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.