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Finding the Fourth Proportional to 3,485.69, 5,226.81 and 1,019.85

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Solution

The fourth proportional to 3,485.69, 5,226.81 and 1,019.85 is: 1,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.69 : 5,226.81 = 1,019.85 : x
  2. Step 2: Convert to fraction form
    3,485.69/5,226.81 = 1,019.85/x
  3. Step 3: Cross multiply
    3,485.69x = 5,226.81 × 1,019.85
  4. Step 4: Simplify right side
    3,485.69x = 5,330,562.18
  5. Step 5: Solve for x
    x = 5,330,562.18/3,485.69
  6. Step 6: Final answer
    x = 1,529.27

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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.