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Finding the Fourth Proportional to 3,908.21, 5,854.46 and 1,825.34

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Solution

The fourth proportional to 3,908.21, 5,854.46 and 1,825.34 is: 2,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.21 : 5,854.46 = 1,825.34 : x
  2. Step 2: Convert to fraction form
    3,908.21/5,854.46 = 1,825.34/x
  3. Step 3: Cross multiply
    3,908.21x = 5,854.46 × 1,825.34
  4. Step 4: Simplify right side
    3,908.21x = 10,686,341.62
  5. Step 5: Solve for x
    x = 10,686,341.62/3,908.21
  6. Step 6: Final answer
    x = 2,734.33

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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.