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Finding the Fourth Proportional to 3,409.14, 5,115.03 and 1,329.33

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Solution

The fourth proportional to 3,409.14, 5,115.03 and 1,329.33 is: 1,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.14 : 5,115.03 = 1,329.33 : x
  2. Step 2: Convert to fraction form
    3,409.14/5,115.03 = 1,329.33/x
  3. Step 3: Cross multiply
    3,409.14x = 5,115.03 × 1,329.33
  4. Step 4: Simplify right side
    3,409.14x = 6,799,562.83
  5. Step 5: Solve for x
    x = 6,799,562.83/3,409.14
  6. Step 6: Final answer
    x = 1,994.51

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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.