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Finding the Fourth Proportional to 3,825.66, 5,737.95 and 1,228.26

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Solution

The fourth proportional to 3,825.66, 5,737.95 and 1,228.26 is: 1,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.66 : 5,737.95 = 1,228.26 : x
  2. Step 2: Convert to fraction form
    3,825.66/5,737.95 = 1,228.26/x
  3. Step 3: Cross multiply
    3,825.66x = 5,737.95 × 1,228.26
  4. Step 4: Simplify right side
    3,825.66x = 7,047,694.47
  5. Step 5: Solve for x
    x = 7,047,694.47/3,825.66
  6. Step 6: Final answer
    x = 1,842.22

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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.