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Finding the Fourth Proportional to 3,409.91, 5,114.97 and 1,329.83

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Solution

The fourth proportional to 3,409.91, 5,114.97 and 1,329.83 is: 1,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.91 : 5,114.97 = 1,329.83 : x
  2. Step 2: Convert to fraction form
    3,409.91/5,114.97 = 1,329.83/x
  3. Step 3: Cross multiply
    3,409.91x = 5,114.97 × 1,329.83
  4. Step 4: Simplify right side
    3,409.91x = 6,802,050.02
  5. Step 5: Solve for x
    x = 6,802,050.02/3,409.91
  6. Step 6: Final answer
    x = 1,994.79

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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.