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Finding the Fourth Proportional to 4,446, 6,669 and 2,254.80

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Solution

The fourth proportional to 4,446, 6,669 and 2,254.80 is: 3,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446 : 6,669 = 2,254.80 : x
  2. Step 2: Convert to fraction form
    4,446/6,669 = 2,254.80/x
  3. Step 3: Cross multiply
    4,446x = 6,669 × 2,254.80
  4. Step 4: Simplify right side
    4,446x = 15,037,261.20
  5. Step 5: Solve for x
    x = 15,037,261.20/4,446
  6. Step 6: Final answer
    x = 3,382.20

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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.