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Finding the Fourth Proportional to 3,619.25, 5,429.42 and 1,311.29

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Solution

The fourth proportional to 3,619.25, 5,429.42 and 1,311.29 is: 1,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.25 : 5,429.42 = 1,311.29 : x
  2. Step 2: Convert to fraction form
    3,619.25/5,429.42 = 1,311.29/x
  3. Step 3: Cross multiply
    3,619.25x = 5,429.42 × 1,311.29
  4. Step 4: Simplify right side
    3,619.25x = 7,119,544.15
  5. Step 5: Solve for x
    x = 7,119,544.15/3,619.25
  6. Step 6: Final answer
    x = 1,967.13

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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.