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Finding the Fourth Proportional to 3,489.36, 5,231.99 and 1,409.43

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Solution

The fourth proportional to 3,489.36, 5,231.99 and 1,409.43 is: 2,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.36 : 5,231.99 = 1,409.43 : x
  2. Step 2: Convert to fraction form
    3,489.36/5,231.99 = 1,409.43/x
  3. Step 3: Cross multiply
    3,489.36x = 5,231.99 × 1,409.43
  4. Step 4: Simplify right side
    3,489.36x = 7,374,127.19
  5. Step 5: Solve for x
    x = 7,374,127.19/3,489.36
  6. Step 6: Final answer
    x = 2,113.32

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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.