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Finding the Fourth Proportional to 6,270.76, 8,651.70 and 4,175.24

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Solution

The fourth proportional to 6,270.76, 8,651.70 and 4,175.24 is: 5,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.76 : 8,651.70 = 4,175.24 : x
  2. Step 2: Convert to fraction form
    6,270.76/8,651.70 = 4,175.24/x
  3. Step 3: Cross multiply
    6,270.76x = 8,651.70 × 4,175.24
  4. Step 4: Simplify right side
    6,270.76x = 36,122,923.91
  5. Step 5: Solve for x
    x = 36,122,923.91/6,270.76
  6. Step 6: Final answer
    x = 5,760.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.