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Finding the Fourth Proportional to 3,682.53, 5,524.38 and 1,734.75

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Solution

The fourth proportional to 3,682.53, 5,524.38 and 1,734.75 is: 2,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.53 : 5,524.38 = 1,734.75 : x
  2. Step 2: Convert to fraction form
    3,682.53/5,524.38 = 1,734.75/x
  3. Step 3: Cross multiply
    3,682.53x = 5,524.38 × 1,734.75
  4. Step 4: Simplify right side
    3,682.53x = 9,583,418.21
  5. Step 5: Solve for x
    x = 9,583,418.21/3,682.53
  6. Step 6: Final answer
    x = 2,602.40

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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.