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Finding the Fourth Proportional to 3,682.90, 5,523.74 and 1,013.86

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Solution

The fourth proportional to 3,682.90, 5,523.74 and 1,013.86 is: 1,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.90 : 5,523.74 = 1,013.86 : x
  2. Step 2: Convert to fraction form
    3,682.90/5,523.74 = 1,013.86/x
  3. Step 3: Cross multiply
    3,682.90x = 5,523.74 × 1,013.86
  4. Step 4: Simplify right side
    3,682.90x = 5,600,304.67
  5. Step 5: Solve for x
    x = 5,600,304.67/3,682.90
  6. Step 6: Final answer
    x = 1,520.63

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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.