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Finding the Fourth Proportional to 3,586.70, 4,948.26 and 2,644.73

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Solution

The fourth proportional to 3,586.70, 4,948.26 and 2,644.73 is: 3,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.70 : 4,948.26 = 2,644.73 : x
  2. Step 2: Convert to fraction form
    3,586.70/4,948.26 = 2,644.73/x
  3. Step 3: Cross multiply
    3,586.70x = 4,948.26 × 2,644.73
  4. Step 4: Simplify right side
    3,586.70x = 13,086,811.67
  5. Step 5: Solve for x
    x = 13,086,811.67/3,586.70
  6. Step 6: Final answer
    x = 3,648.71

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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.