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Finding the Fourth Proportional to 3,489, 5,233.50 and 1,409.92

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Solution

The fourth proportional to 3,489, 5,233.50 and 1,409.92 is: 2,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489 : 5,233.50 = 1,409.92 : x
  2. Step 2: Convert to fraction form
    3,489/5,233.50 = 1,409.92/x
  3. Step 3: Cross multiply
    3,489x = 5,233.50 × 1,409.92
  4. Step 4: Simplify right side
    3,489x = 7,378,816.32
  5. Step 5: Solve for x
    x = 7,378,816.32/3,489
  6. Step 6: Final answer
    x = 2,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.