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Finding the Fourth Proportional to 4,219.65, 5,825.07 and 2,450.91

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Solution

The fourth proportional to 4,219.65, 5,825.07 and 2,450.91 is: 3,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.65 : 5,825.07 = 2,450.91 : x
  2. Step 2: Convert to fraction form
    4,219.65/5,825.07 = 2,450.91/x
  3. Step 3: Cross multiply
    4,219.65x = 5,825.07 × 2,450.91
  4. Step 4: Simplify right side
    4,219.65x = 14,276,722.31
  5. Step 5: Solve for x
    x = 14,276,722.31/4,219.65
  6. Step 6: Final answer
    x = 3,383.39

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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.