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Finding the Fourth Proportional to 3,790.44, 5,686.14 and 1,481.64

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Solution

The fourth proportional to 3,790.44, 5,686.14 and 1,481.64 is: 2,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.44 : 5,686.14 = 1,481.64 : x
  2. Step 2: Convert to fraction form
    3,790.44/5,686.14 = 1,481.64/x
  3. Step 3: Cross multiply
    3,790.44x = 5,686.14 × 1,481.64
  4. Step 4: Simplify right side
    3,790.44x = 8,424,812.47
  5. Step 5: Solve for x
    x = 8,424,812.47/3,790.44
  6. Step 6: Final answer
    x = 2,222.65

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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.