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Finding the Fourth Proportional to 4,767.36, 7,149.74 and 1,993.44

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Solution

The fourth proportional to 4,767.36, 7,149.74 and 1,993.44 is: 2,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.36 : 7,149.74 = 1,993.44 : x
  2. Step 2: Convert to fraction form
    4,767.36/7,149.74 = 1,993.44/x
  3. Step 3: Cross multiply
    4,767.36x = 7,149.74 × 1,993.44
  4. Step 4: Simplify right side
    4,767.36x = 14,252,567.74
  5. Step 5: Solve for x
    x = 14,252,567.74/4,767.36
  6. Step 6: Final answer
    x = 2,989.61

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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.