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Finding the Fourth Proportional to 4,024.64, 5,553.70 and 2,256.20

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Solution

The fourth proportional to 4,024.64, 5,553.70 and 2,256.20 is: 3,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.64 : 5,553.70 = 2,256.20 : x
  2. Step 2: Convert to fraction form
    4,024.64/5,553.70 = 2,256.20/x
  3. Step 3: Cross multiply
    4,024.64x = 5,553.70 × 2,256.20
  4. Step 4: Simplify right side
    4,024.64x = 12,530,257.94
  5. Step 5: Solve for x
    x = 12,530,257.94/4,024.64
  6. Step 6: Final answer
    x = 3,113.39

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Why These Related Problems?

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