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Finding the Fourth Proportional to 3,662.50, 5,054.25 and 2,668.63

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Solution

The fourth proportional to 3,662.50, 5,054.25 and 2,668.63 is: 3,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.50 : 5,054.25 = 2,668.63 : x
  2. Step 2: Convert to fraction form
    3,662.50/5,054.25 = 2,668.63/x
  3. Step 3: Cross multiply
    3,662.50x = 5,054.25 × 2,668.63
  4. Step 4: Simplify right side
    3,662.50x = 13,487,923.18
  5. Step 5: Solve for x
    x = 13,487,923.18/3,662.50
  6. Step 6: Final answer
    x = 3,682.71

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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.