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Finding the Fourth Proportional to 3,489.34, 5,230.96 and 1,409.26

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Solution

The fourth proportional to 3,489.34, 5,230.96 and 1,409.26 is: 2,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.34 : 5,230.96 = 1,409.26 : x
  2. Step 2: Convert to fraction form
    3,489.34/5,230.96 = 1,409.26/x
  3. Step 3: Cross multiply
    3,489.34x = 5,230.96 × 1,409.26
  4. Step 4: Simplify right side
    3,489.34x = 7,371,782.69
  5. Step 5: Solve for x
    x = 7,371,782.69/3,489.34
  6. Step 6: Final answer
    x = 2,112.66

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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.