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Finding the Fourth Proportional to 4,174.47, 6,231.86 and 4,028.45

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Solution

The fourth proportional to 4,174.47, 6,231.86 and 4,028.45 is: 6,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.47 : 6,231.86 = 4,028.45 : x
  2. Step 2: Convert to fraction form
    4,174.47/6,231.86 = 4,028.45/x
  3. Step 3: Cross multiply
    4,174.47x = 6,231.86 × 4,028.45
  4. Step 4: Simplify right side
    4,174.47x = 25,104,720.84
  5. Step 5: Solve for x
    x = 25,104,720.84/4,174.47
  6. Step 6: Final answer
    x = 6,013.87

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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.