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Finding the Fourth Proportional to 3,376.91, 5,065.35 and 911.97

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Solution

The fourth proportional to 3,376.91, 5,065.35 and 911.97 is: 1,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.91 : 5,065.35 = 911.97 : x
  2. Step 2: Convert to fraction form
    3,376.91/5,065.35 = 911.97/x
  3. Step 3: Cross multiply
    3,376.91x = 5,065.35 × 911.97
  4. Step 4: Simplify right side
    3,376.91x = 4,619,447.24
  5. Step 5: Solve for x
    x = 4,619,447.24/3,376.91
  6. Step 6: Final answer
    x = 1,367.95

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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.