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Finding the Fourth Proportional to 4,834.44, 6,671.67 and 3,420.66

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Solution

The fourth proportional to 4,834.44, 6,671.67 and 3,420.66 is: 4,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.44 : 6,671.67 = 3,420.66 : x
  2. Step 2: Convert to fraction form
    4,834.44/6,671.67 = 3,420.66/x
  3. Step 3: Cross multiply
    4,834.44x = 6,671.67 × 3,420.66
  4. Step 4: Simplify right side
    4,834.44x = 22,821,514.70
  5. Step 5: Solve for x
    x = 22,821,514.70/4,834.44
  6. Step 6: Final answer
    x = 4,720.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.