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Finding the Fourth Proportional to 3,942.45, 5,903.42 and 3,825.58

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Solution

The fourth proportional to 3,942.45, 5,903.42 and 3,825.58 is: 5,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.45 : 5,903.42 = 3,825.58 : x
  2. Step 2: Convert to fraction form
    3,942.45/5,903.42 = 3,825.58/x
  3. Step 3: Cross multiply
    3,942.45x = 5,903.42 × 3,825.58
  4. Step 4: Simplify right side
    3,942.45x = 22,583,998.81
  5. Step 5: Solve for x
    x = 22,583,998.81/3,942.45
  6. Step 6: Final answer
    x = 5,728.42

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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.