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Finding the Fourth Proportional to 4,448.56, 6,138.68 and 2,458.80

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Solution

The fourth proportional to 4,448.56, 6,138.68 and 2,458.80 is: 3,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.56 : 6,138.68 = 2,458.80 : x
  2. Step 2: Convert to fraction form
    4,448.56/6,138.68 = 2,458.80/x
  3. Step 3: Cross multiply
    4,448.56x = 6,138.68 × 2,458.80
  4. Step 4: Simplify right side
    4,448.56x = 15,093,786.38
  5. Step 5: Solve for x
    x = 15,093,786.38/4,448.56
  6. Step 6: Final answer
    x = 3,392.96

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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.