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Finding the Fourth Proportional to 5,805.24, 8,696.34 and 3,747

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Solution

The fourth proportional to 5,805.24, 8,696.34 and 3,747 is: 5,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.24 : 8,696.34 = 3,747 : x
  2. Step 2: Convert to fraction form
    5,805.24/8,696.34 = 3,747/x
  3. Step 3: Cross multiply
    5,805.24x = 8,696.34 × 3,747
  4. Step 4: Simplify right side
    5,805.24x = 32,585,185.98
  5. Step 5: Solve for x
    x = 32,585,185.98/5,805.24
  6. Step 6: Final answer
    x = 5,613.06

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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.