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Finding the Fourth Proportional to 3,429.87, 4,735.22 and 2,253

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Solution

The fourth proportional to 3,429.87, 4,735.22 and 2,253 is: 3,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.87 : 4,735.22 = 2,253 : x
  2. Step 2: Convert to fraction form
    3,429.87/4,735.22 = 2,253/x
  3. Step 3: Cross multiply
    3,429.87x = 4,735.22 × 2,253
  4. Step 4: Simplify right side
    3,429.87x = 10,668,450.66
  5. Step 5: Solve for x
    x = 10,668,450.66/3,429.87
  6. Step 6: Final answer
    x = 3,110.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.