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Finding the Fourth Proportional to 4,640.44, 6,943.21 and 3,256.48

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Solution

The fourth proportional to 4,640.44, 6,943.21 and 3,256.48 is: 4,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.44 : 6,943.21 = 3,256.48 : x
  2. Step 2: Convert to fraction form
    4,640.44/6,943.21 = 3,256.48/x
  3. Step 3: Cross multiply
    4,640.44x = 6,943.21 × 3,256.48
  4. Step 4: Simplify right side
    4,640.44x = 22,610,424.50
  5. Step 5: Solve for x
    x = 22,610,424.50/4,640.44
  6. Step 6: Final answer
    x = 4,872.47

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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.