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Finding the Fourth Proportional to 7,033.80, 9,705.24 and 3,889.38

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Solution

The fourth proportional to 7,033.80, 9,705.24 and 3,889.38 is: 5,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.80 : 9,705.24 = 3,889.38 : x
  2. Step 2: Convert to fraction form
    7,033.80/9,705.24 = 3,889.38/x
  3. Step 3: Cross multiply
    7,033.80x = 9,705.24 × 3,889.38
  4. Step 4: Simplify right side
    7,033.80x = 37,747,366.35
  5. Step 5: Solve for x
    x = 37,747,366.35/7,033.80
  6. Step 6: Final answer
    x = 5,366.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.