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Finding the Fourth Proportional to 3,792.42, 5,230.44 and 2,467.80

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Solution

The fourth proportional to 3,792.42, 5,230.44 and 2,467.80 is: 3,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,230.44 = 2,467.80 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,230.44 = 2,467.80/x
  3. Step 3: Cross multiply
    3,792.42x = 5,230.44 × 2,467.80
  4. Step 4: Simplify right side
    3,792.42x = 12,907,679.83
  5. Step 5: Solve for x
    x = 12,907,679.83/3,792.42
  6. Step 6: Final answer
    x = 3,403.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.