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Finding the Fourth Proportional to 4,469.70, 6,674.46 and 3,649.58

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Solution

The fourth proportional to 4,469.70, 6,674.46 and 3,649.58 is: 5,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.70 : 6,674.46 = 3,649.58 : x
  2. Step 2: Convert to fraction form
    4,469.70/6,674.46 = 3,649.58/x
  3. Step 3: Cross multiply
    4,469.70x = 6,674.46 × 3,649.58
  4. Step 4: Simplify right side
    4,469.70x = 24,358,975.73
  5. Step 5: Solve for x
    x = 24,358,975.73/4,469.70
  6. Step 6: Final answer
    x = 5,449.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.