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Finding the Fourth Proportional to 4,640.53, 6,404.24 and 2,544.66

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Solution

The fourth proportional to 4,640.53, 6,404.24 and 2,544.66 is: 3,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.53 : 6,404.24 = 2,544.66 : x
  2. Step 2: Convert to fraction form
    4,640.53/6,404.24 = 2,544.66/x
  3. Step 3: Cross multiply
    4,640.53x = 6,404.24 × 2,544.66
  4. Step 4: Simplify right side
    4,640.53x = 16,296,586.16
  5. Step 5: Solve for x
    x = 16,296,586.16/4,640.53
  6. Step 6: Final answer
    x = 3,511.79

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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.