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Finding the Fourth Proportional to 5,770.53, 8,651.43 and 3,174.21

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Solution

The fourth proportional to 5,770.53, 8,651.43 and 3,174.21 is: 4,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.53 : 8,651.43 = 3,174.21 : x
  2. Step 2: Convert to fraction form
    5,770.53/8,651.43 = 3,174.21/x
  3. Step 3: Cross multiply
    5,770.53x = 8,651.43 × 3,174.21
  4. Step 4: Simplify right side
    5,770.53x = 27,461,455.62
  5. Step 5: Solve for x
    x = 27,461,455.62/5,770.53
  6. Step 6: Final answer
    x = 4,758.91

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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.