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Finding the Fourth Proportional to 5,046.45, 7,564.33 and 1,924.44

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Solution

The fourth proportional to 5,046.45, 7,564.33 and 1,924.44 is: 2,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.45 : 7,564.33 = 1,924.44 : x
  2. Step 2: Convert to fraction form
    5,046.45/7,564.33 = 1,924.44/x
  3. Step 3: Cross multiply
    5,046.45x = 7,564.33 × 1,924.44
  4. Step 4: Simplify right side
    5,046.45x = 14,557,099.23
  5. Step 5: Solve for x
    x = 14,557,099.23/5,046.45
  6. Step 6: Final answer
    x = 2,884.62

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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.