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Finding the Fourth Proportional to 4,834, 6,671.33 and 3,064.96

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Solution

The fourth proportional to 4,834, 6,671.33 and 3,064.96 is: 4,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834 : 6,671.33 = 3,064.96 : x
  2. Step 2: Convert to fraction form
    4,834/6,671.33 = 3,064.96/x
  3. Step 3: Cross multiply
    4,834x = 6,671.33 × 3,064.96
  4. Step 4: Simplify right side
    4,834x = 20,447,359.60
  5. Step 5: Solve for x
    x = 20,447,359.60/4,834
  6. Step 6: Final answer
    x = 4,229.90

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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.