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Finding the Fourth Proportional to 4,672.98, 7,012.94 and 2,208.56

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Solution

The fourth proportional to 4,672.98, 7,012.94 and 2,208.56 is: 3,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.98 : 7,012.94 = 2,208.56 : x
  2. Step 2: Convert to fraction form
    4,672.98/7,012.94 = 2,208.56/x
  3. Step 3: Cross multiply
    4,672.98x = 7,012.94 × 2,208.56
  4. Step 4: Simplify right side
    4,672.98x = 15,488,452.66
  5. Step 5: Solve for x
    x = 15,488,452.66/4,672.98
  6. Step 6: Final answer
    x = 3,314.47

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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.