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Finding the Fourth Proportional to 7,049.50, 10,578.14 and 3,931.26

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Solution

The fourth proportional to 7,049.50, 10,578.14 and 3,931.26 is: 5,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.50 : 10,578.14 = 3,931.26 : x
  2. Step 2: Convert to fraction form
    7,049.50/10,578.14 = 3,931.26/x
  3. Step 3: Cross multiply
    7,049.50x = 10,578.14 × 3,931.26
  4. Step 4: Simplify right side
    7,049.50x = 41,585,418.66
  5. Step 5: Solve for x
    x = 41,585,418.66/7,049.50
  6. Step 6: Final answer
    x = 5,899.06

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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.