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Finding the Fourth Proportional to 4,894.98, 7,342.74 and 3,174.54

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Solution

The fourth proportional to 4,894.98, 7,342.74 and 3,174.54 is: 4,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.98 : 7,342.74 = 3,174.54 : x
  2. Step 2: Convert to fraction form
    4,894.98/7,342.74 = 3,174.54/x
  3. Step 3: Cross multiply
    4,894.98x = 7,342.74 × 3,174.54
  4. Step 4: Simplify right side
    4,894.98x = 23,309,821.84
  5. Step 5: Solve for x
    x = 23,309,821.84/4,894.98
  6. Step 6: Final answer
    x = 4,761.99

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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.