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Finding the Fourth Proportional to 4,974.98, 7,462.46 and 2,051.69

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Solution

The fourth proportional to 4,974.98, 7,462.46 and 2,051.69 is: 3,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.98 : 7,462.46 = 2,051.69 : x
  2. Step 2: Convert to fraction form
    4,974.98/7,462.46 = 2,051.69/x
  3. Step 3: Cross multiply
    4,974.98x = 7,462.46 × 2,051.69
  4. Step 4: Simplify right side
    4,974.98x = 15,310,622.37
  5. Step 5: Solve for x
    x = 15,310,622.37/4,974.98
  6. Step 6: Final answer
    x = 3,077.53

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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.