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Finding the Fourth Proportional to 3,826.12, 5,739 and 1,228.72

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Solution

The fourth proportional to 3,826.12, 5,739 and 1,228.72 is: 1,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.12 : 5,739 = 1,228.72 : x
  2. Step 2: Convert to fraction form
    3,826.12/5,739 = 1,228.72/x
  3. Step 3: Cross multiply
    3,826.12x = 5,739 × 1,228.72
  4. Step 4: Simplify right side
    3,826.12x = 7,051,624.08
  5. Step 5: Solve for x
    x = 7,051,624.08/3,826.12
  6. Step 6: Final answer
    x = 1,843.02

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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.