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Finding the Fourth Proportional to 3,474.98, 5,212.31 and 1,009.74

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Solution

The fourth proportional to 3,474.98, 5,212.31 and 1,009.74 is: 1,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.98 : 5,212.31 = 1,009.74 : x
  2. Step 2: Convert to fraction form
    3,474.98/5,212.31 = 1,009.74/x
  3. Step 3: Cross multiply
    3,474.98x = 5,212.31 × 1,009.74
  4. Step 4: Simplify right side
    3,474.98x = 5,263,072.85
  5. Step 5: Solve for x
    x = 5,263,072.85/3,474.98
  6. Step 6: Final answer
    x = 1,514.56

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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.