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Finding the Fourth Proportional to 5,203.44, 7,801.92 and 2,428.92

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Solution

The fourth proportional to 5,203.44, 7,801.92 and 2,428.92 is: 3,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.44 : 7,801.92 = 2,428.92 : x
  2. Step 2: Convert to fraction form
    5,203.44/7,801.92 = 2,428.92/x
  3. Step 3: Cross multiply
    5,203.44x = 7,801.92 × 2,428.92
  4. Step 4: Simplify right side
    5,203.44x = 18,950,239.53
  5. Step 5: Solve for x
    x = 18,950,239.53/5,203.44
  6. Step 6: Final answer
    x = 3,641.87

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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.