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Finding the Fourth Proportional to 3,489.54, 5,228.13 and 1,842.45

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Solution

The fourth proportional to 3,489.54, 5,228.13 and 1,842.45 is: 2,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.54 : 5,228.13 = 1,842.45 : x
  2. Step 2: Convert to fraction form
    3,489.54/5,228.13 = 1,842.45/x
  3. Step 3: Cross multiply
    3,489.54x = 5,228.13 × 1,842.45
  4. Step 4: Simplify right side
    3,489.54x = 9,632,568.12
  5. Step 5: Solve for x
    x = 9,632,568.12/3,489.54
  6. Step 6: Final answer
    x = 2,760.41

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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.