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Finding the Fourth Proportional to 4,450.96, 6,138.48 and 3,790

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Solution

The fourth proportional to 4,450.96, 6,138.48 and 3,790 is: 5,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.96 : 6,138.48 = 3,790 : x
  2. Step 2: Convert to fraction form
    4,450.96/6,138.48 = 3,790/x
  3. Step 3: Cross multiply
    4,450.96x = 6,138.48 × 3,790
  4. Step 4: Simplify right side
    4,450.96x = 23,264,839.20
  5. Step 5: Solve for x
    x = 23,264,839.20/4,450.96
  6. Step 6: Final answer
    x = 5,226.93

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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.