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Finding the Fourth Proportional to 5,409.10, 8,109.04 and 2,121.42

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Solution

The fourth proportional to 5,409.10, 8,109.04 and 2,121.42 is: 3,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.10 : 8,109.04 = 2,121.42 : x
  2. Step 2: Convert to fraction form
    5,409.10/8,109.04 = 2,121.42/x
  3. Step 3: Cross multiply
    5,409.10x = 8,109.04 × 2,121.42
  4. Step 4: Simplify right side
    5,409.10x = 17,202,679.64
  5. Step 5: Solve for x
    x = 17,202,679.64/5,409.10
  6. Step 6: Final answer
    x = 3,180.32

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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.