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Finding the Fourth Proportional to 3,682.68, 5,523.84 and 1,374

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Solution

The fourth proportional to 3,682.68, 5,523.84 and 1,374 is: 2,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.68 : 5,523.84 = 1,374 : x
  2. Step 2: Convert to fraction form
    3,682.68/5,523.84 = 1,374/x
  3. Step 3: Cross multiply
    3,682.68x = 5,523.84 × 1,374
  4. Step 4: Simplify right side
    3,682.68x = 7,589,756.16
  5. Step 5: Solve for x
    x = 7,589,756.16/3,682.68
  6. Step 6: Final answer
    x = 2,060.93

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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.