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Finding the Fourth Proportional to 4,858, 7,283.20 and 2,262.80

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Solution

The fourth proportional to 4,858, 7,283.20 and 2,262.80 is: 3,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,858 : 7,283.20 = 2,262.80 : x
  2. Step 2: Convert to fraction form
    4,858/7,283.20 = 2,262.80/x
  3. Step 3: Cross multiply
    4,858x = 7,283.20 × 2,262.80
  4. Step 4: Simplify right side
    4,858x = 16,480,424.96
  5. Step 5: Solve for x
    x = 16,480,424.96/4,858
  6. Step 6: Final answer
    x = 3,392.43

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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.