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Finding the Fourth Proportional to 4,446.66, 6,676.17 and 2,256.90

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Solution

The fourth proportional to 4,446.66, 6,676.17 and 2,256.90 is: 3,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.66 : 6,676.17 = 2,256.90 : x
  2. Step 2: Convert to fraction form
    4,446.66/6,676.17 = 2,256.90/x
  3. Step 3: Cross multiply
    4,446.66x = 6,676.17 × 2,256.90
  4. Step 4: Simplify right side
    4,446.66x = 15,067,448.07
  5. Step 5: Solve for x
    x = 15,067,448.07/4,446.66
  6. Step 6: Final answer
    x = 3,388.49

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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.