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Finding the Fourth Proportional to 3,579.85, 5,369.91 and 982.99

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Solution

The fourth proportional to 3,579.85, 5,369.91 and 982.99 is: 1,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.85 : 5,369.91 = 982.99 : x
  2. Step 2: Convert to fraction form
    3,579.85/5,369.91 = 982.99/x
  3. Step 3: Cross multiply
    3,579.85x = 5,369.91 × 982.99
  4. Step 4: Simplify right side
    3,579.85x = 5,278,567.83
  5. Step 5: Solve for x
    x = 5,278,567.83/3,579.85
  6. Step 6: Final answer
    x = 1,474.52

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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.