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Finding the Fourth Proportional to 5,024.96, 7,544.82 and 4,936.38

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Solution

The fourth proportional to 5,024.96, 7,544.82 and 4,936.38 is: 7,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.96 : 7,544.82 = 4,936.38 : x
  2. Step 2: Convert to fraction form
    5,024.96/7,544.82 = 4,936.38/x
  3. Step 3: Cross multiply
    5,024.96x = 7,544.82 × 4,936.38
  4. Step 4: Simplify right side
    5,024.96x = 37,244,098.55
  5. Step 5: Solve for x
    x = 37,244,098.55/5,024.96
  6. Step 6: Final answer
    x = 7,411.82

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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.