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Finding the Fourth Proportional to 4,954.26, 7,443 and 4,674.05

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Solution

The fourth proportional to 4,954.26, 7,443 and 4,674.05 is: 7,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.26 : 7,443 = 4,674.05 : x
  2. Step 2: Convert to fraction form
    4,954.26/7,443 = 4,674.05/x
  3. Step 3: Cross multiply
    4,954.26x = 7,443 × 4,674.05
  4. Step 4: Simplify right side
    4,954.26x = 34,788,916.94
  5. Step 5: Solve for x
    x = 34,788,916.94/4,954.26
  6. Step 6: Final answer
    x = 7,022.02

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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.