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Finding the Fourth Proportional to 4,174.44, 6,227.48 and 3,485.53

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Solution

The fourth proportional to 4,174.44, 6,227.48 and 3,485.53 is: 5,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.44 : 6,227.48 = 3,485.53 : x
  2. Step 2: Convert to fraction form
    4,174.44/6,227.48 = 3,485.53/x
  3. Step 3: Cross multiply
    4,174.44x = 6,227.48 × 3,485.53
  4. Step 4: Simplify right side
    4,174.44x = 21,706,084.86
  5. Step 5: Solve for x
    x = 21,706,084.86/4,174.44
  6. Step 6: Final answer
    x = 5,199.76

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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.