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Finding the Fourth Proportional to 3,489.12, 5,233.86 and 892.08

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Solution

The fourth proportional to 3,489.12, 5,233.86 and 892.08 is: 1,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.12 : 5,233.86 = 892.08 : x
  2. Step 2: Convert to fraction form
    3,489.12/5,233.86 = 892.08/x
  3. Step 3: Cross multiply
    3,489.12x = 5,233.86 × 892.08
  4. Step 4: Simplify right side
    3,489.12x = 4,669,021.83
  5. Step 5: Solve for x
    x = 4,669,021.83/3,489.12
  6. Step 6: Final answer
    x = 1,338.17

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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.