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Finding the Fourth Proportional to 4,944.43, 7,415.43 and 1,434.43

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Solution

The fourth proportional to 4,944.43, 7,415.43 and 1,434.43 is: 2,151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.43 : 7,415.43 = 1,434.43 : x
  2. Step 2: Convert to fraction form
    4,944.43/7,415.43 = 1,434.43/x
  3. Step 3: Cross multiply
    4,944.43x = 7,415.43 × 1,434.43
  4. Step 4: Simplify right side
    4,944.43x = 10,636,915.25
  5. Step 5: Solve for x
    x = 10,636,915.25/4,944.43
  6. Step 6: Final answer
    x = 2,151.29

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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.