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Finding the Fourth Proportional to 3,469.98, 4,821.77 and 3,434.46

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Solution

The fourth proportional to 3,469.98, 4,821.77 and 3,434.46 is: 4,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.98 : 4,821.77 = 3,434.46 : x
  2. Step 2: Convert to fraction form
    3,469.98/4,821.77 = 3,434.46/x
  3. Step 3: Cross multiply
    3,469.98x = 4,821.77 × 3,434.46
  4. Step 4: Simplify right side
    3,469.98x = 16,560,159.02
  5. Step 5: Solve for x
    x = 16,560,159.02/3,469.98
  6. Step 6: Final answer
    x = 4,772.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.