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Finding the Fourth Proportional to 4,764.21, 7,148.75 and 2,268.22

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Solution

The fourth proportional to 4,764.21, 7,148.75 and 2,268.22 is: 3,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.21 : 7,148.75 = 2,268.22 : x
  2. Step 2: Convert to fraction form
    4,764.21/7,148.75 = 2,268.22/x
  3. Step 3: Cross multiply
    4,764.21x = 7,148.75 × 2,268.22
  4. Step 4: Simplify right side
    4,764.21x = 16,214,919.85
  5. Step 5: Solve for x
    x = 16,214,919.85/4,764.21
  6. Step 6: Final answer
    x = 3,403.49

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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.