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Finding the Fourth Proportional to 3,641.36, 5,025 and 2,224.56

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Solution

The fourth proportional to 3,641.36, 5,025 and 2,224.56 is: 3,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.36 : 5,025 = 2,224.56 : x
  2. Step 2: Convert to fraction form
    3,641.36/5,025 = 2,224.56/x
  3. Step 3: Cross multiply
    3,641.36x = 5,025 × 2,224.56
  4. Step 4: Simplify right side
    3,641.36x = 11,178,414
  5. Step 5: Solve for x
    x = 11,178,414/3,641.36
  6. Step 6: Final answer
    x = 3,069.85

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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.