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Finding the Fourth Proportional to 4,804.89, 6,633.81 and 3,922.80

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Solution

The fourth proportional to 4,804.89, 6,633.81 and 3,922.80 is: 5,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.89 : 6,633.81 = 3,922.80 : x
  2. Step 2: Convert to fraction form
    4,804.89/6,633.81 = 3,922.80/x
  3. Step 3: Cross multiply
    4,804.89x = 6,633.81 × 3,922.80
  4. Step 4: Simplify right side
    4,804.89x = 26,023,109.87
  5. Step 5: Solve for x
    x = 26,023,109.87/4,804.89
  6. Step 6: Final answer
    x = 5,415.96

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1.5x scale

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.