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Finding the Fourth Proportional to 3,825.96, 5,737.92 and 1,228.32

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Solution

The fourth proportional to 3,825.96, 5,737.92 and 1,228.32 is: 1,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.96 : 5,737.92 = 1,228.32 : x
  2. Step 2: Convert to fraction form
    3,825.96/5,737.92 = 1,228.32/x
  3. Step 3: Cross multiply
    3,825.96x = 5,737.92 × 1,228.32
  4. Step 4: Simplify right side
    3,825.96x = 7,048,001.89
  5. Step 5: Solve for x
    x = 7,048,001.89/3,825.96
  6. Step 6: Final answer
    x = 1,842.15

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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.