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Finding the Fourth Proportional to 4,835.97, 7,257.78 and 2,203.68

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Solution

The fourth proportional to 4,835.97, 7,257.78 and 2,203.68 is: 3,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.97 : 7,257.78 = 2,203.68 : x
  2. Step 2: Convert to fraction form
    4,835.97/7,257.78 = 2,203.68/x
  3. Step 3: Cross multiply
    4,835.97x = 7,257.78 × 2,203.68
  4. Step 4: Simplify right side
    4,835.97x = 15,993,824.63
  5. Step 5: Solve for x
    x = 15,993,824.63/4,835.97
  6. Step 6: Final answer
    x = 3,307.26

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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.