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Finding the Fourth Proportional to 3,700.26, 5,523.89 and 3,430.26

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Solution

The fourth proportional to 3,700.26, 5,523.89 and 3,430.26 is: 5,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.26 : 5,523.89 = 3,430.26 : x
  2. Step 2: Convert to fraction form
    3,700.26/5,523.89 = 3,430.26/x
  3. Step 3: Cross multiply
    3,700.26x = 5,523.89 × 3,430.26
  4. Step 4: Simplify right side
    3,700.26x = 18,948,361.76
  5. Step 5: Solve for x
    x = 18,948,361.76/3,700.26
  6. Step 6: Final answer
    x = 5,120.82

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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.