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Finding the Fourth Proportional to 3,670.73, 5,059 and 2,674.43

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Solution

The fourth proportional to 3,670.73, 5,059 and 2,674.43 is: 3,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.73 : 5,059 = 2,674.43 : x
  2. Step 2: Convert to fraction form
    3,670.73/5,059 = 2,674.43/x
  3. Step 3: Cross multiply
    3,670.73x = 5,059 × 2,674.43
  4. Step 4: Simplify right side
    3,670.73x = 13,529,941.37
  5. Step 5: Solve for x
    x = 13,529,941.37/3,670.73
  6. Step 6: Final answer
    x = 3,685.90

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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.