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Finding the Fourth Proportional to 3,409.62, 5,113.34 and 1,329.12

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Solution

The fourth proportional to 3,409.62, 5,113.34 and 1,329.12 is: 1,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.62 : 5,113.34 = 1,329.12 : x
  2. Step 2: Convert to fraction form
    3,409.62/5,113.34 = 1,329.12/x
  3. Step 3: Cross multiply
    3,409.62x = 5,113.34 × 1,329.12
  4. Step 4: Simplify right side
    3,409.62x = 6,796,242.46
  5. Step 5: Solve for x
    x = 6,796,242.46/3,409.62
  6. Step 6: Final answer
    x = 1,993.26

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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.