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Finding the Fourth Proportional to 4,899, 6,762.24 and 3,036

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Solution

The fourth proportional to 4,899, 6,762.24 and 3,036 is: 4,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899 : 6,762.24 = 3,036 : x
  2. Step 2: Convert to fraction form
    4,899/6,762.24 = 3,036/x
  3. Step 3: Cross multiply
    4,899x = 6,762.24 × 3,036
  4. Step 4: Simplify right side
    4,899x = 20,530,160.64
  5. Step 5: Solve for x
    x = 20,530,160.64/4,899
  6. Step 6: Final answer
    x = 4,190.68

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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.