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Finding the Fourth Proportional to 3,703.42, 5,523.90 and 3,149.38

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Solution

The fourth proportional to 3,703.42, 5,523.90 and 3,149.38 is: 4,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.42 : 5,523.90 = 3,149.38 : x
  2. Step 2: Convert to fraction form
    3,703.42/5,523.90 = 3,149.38/x
  3. Step 3: Cross multiply
    3,703.42x = 5,523.90 × 3,149.38
  4. Step 4: Simplify right side
    3,703.42x = 17,396,855.28
  5. Step 5: Solve for x
    x = 17,396,855.28/3,703.42
  6. Step 6: Final answer
    x = 4,697.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.