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Finding the Fourth Proportional to 3,740.16, 5,610.33 and 1,790.22

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Solution

The fourth proportional to 3,740.16, 5,610.33 and 1,790.22 is: 2,685.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.16 : 5,610.33 = 1,790.22 : x
  2. Step 2: Convert to fraction form
    3,740.16/5,610.33 = 1,790.22/x
  3. Step 3: Cross multiply
    3,740.16x = 5,610.33 × 1,790.22
  4. Step 4: Simplify right side
    3,740.16x = 10,043,724.97
  5. Step 5: Solve for x
    x = 10,043,724.97/3,740.16
  6. Step 6: Final answer
    x = 2,685.37

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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.