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Finding the Fourth Proportional to 3,826.16, 5,737.98 and 1,228.46

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Solution

The fourth proportional to 3,826.16, 5,737.98 and 1,228.46 is: 1,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.16 : 5,737.98 = 1,228.46 : x
  2. Step 2: Convert to fraction form
    3,826.16/5,737.98 = 1,228.46/x
  3. Step 3: Cross multiply
    3,826.16x = 5,737.98 × 1,228.46
  4. Step 4: Simplify right side
    3,826.16x = 7,048,878.91
  5. Step 5: Solve for x
    x = 7,048,878.91/3,826.16
  6. Step 6: Final answer
    x = 1,842.29

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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.