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Finding the Fourth Proportional to 4,024.80, 5,553.92 and 2,256

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Solution

The fourth proportional to 4,024.80, 5,553.92 and 2,256 is: 3,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.80 : 5,553.92 = 2,256 : x
  2. Step 2: Convert to fraction form
    4,024.80/5,553.92 = 2,256/x
  3. Step 3: Cross multiply
    4,024.80x = 5,553.92 × 2,256
  4. Step 4: Simplify right side
    4,024.80x = 12,529,643.52
  5. Step 5: Solve for x
    x = 12,529,643.52/4,024.80
  6. Step 6: Final answer
    x = 3,113.11

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