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Finding the Fourth Proportional to 3,682.80, 5,523.96 and 1,341.84

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Solution

The fourth proportional to 3,682.80, 5,523.96 and 1,341.84 is: 2,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.80 : 5,523.96 = 1,341.84 : x
  2. Step 2: Convert to fraction form
    3,682.80/5,523.96 = 1,341.84/x
  3. Step 3: Cross multiply
    3,682.80x = 5,523.96 × 1,341.84
  4. Step 4: Simplify right side
    3,682.80x = 7,412,270.49
  5. Step 5: Solve for x
    x = 7,412,270.49/3,682.80
  6. Step 6: Final answer
    x = 2,012.67

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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.