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Finding the Fourth Proportional to 3,682.57, 5,523.84 and 1,490.71

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Solution

The fourth proportional to 3,682.57, 5,523.84 and 1,490.71 is: 2,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.57 : 5,523.84 = 1,490.71 : x
  2. Step 2: Convert to fraction form
    3,682.57/5,523.84 = 1,490.71/x
  3. Step 3: Cross multiply
    3,682.57x = 5,523.84 × 1,490.71
  4. Step 4: Simplify right side
    3,682.57x = 8,234,443.53
  5. Step 5: Solve for x
    x = 8,234,443.53/3,682.57
  6. Step 6: Final answer
    x = 2,236.06

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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.