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Finding the Fourth Proportional to 3,744.49, 5,614.23 and 1,795.63

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Solution

The fourth proportional to 3,744.49, 5,614.23 and 1,795.63 is: 2,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.49 : 5,614.23 = 1,795.63 : x
  2. Step 2: Convert to fraction form
    3,744.49/5,614.23 = 1,795.63/x
  3. Step 3: Cross multiply
    3,744.49x = 5,614.23 × 1,795.63
  4. Step 4: Simplify right side
    3,744.49x = 10,081,079.81
  5. Step 5: Solve for x
    x = 10,081,079.81/3,744.49
  6. Step 6: Final answer
    x = 2,692.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.