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Finding the Fourth Proportional to 4,640.91, 6,404.16 and 2,544.63

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Solution

The fourth proportional to 4,640.91, 6,404.16 and 2,544.63 is: 3,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.91 : 6,404.16 = 2,544.63 : x
  2. Step 2: Convert to fraction form
    4,640.91/6,404.16 = 2,544.63/x
  3. Step 3: Cross multiply
    4,640.91x = 6,404.16 × 2,544.63
  4. Step 4: Simplify right side
    4,640.91x = 16,296,217.66
  5. Step 5: Solve for x
    x = 16,296,217.66/4,640.91
  6. Step 6: Final answer
    x = 3,511.43

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1.5x scale

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.