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Finding the Fourth Proportional to 5,738.93, 8,600.20 and 3,268.65

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Solution

The fourth proportional to 5,738.93, 8,600.20 and 3,268.65 is: 4,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.93 : 8,600.20 = 3,268.65 : x
  2. Step 2: Convert to fraction form
    5,738.93/8,600.20 = 3,268.65/x
  3. Step 3: Cross multiply
    5,738.93x = 8,600.20 × 3,268.65
  4. Step 4: Simplify right side
    5,738.93x = 28,111,043.73
  5. Step 5: Solve for x
    x = 28,111,043.73/5,738.93
  6. Step 6: Final answer
    x = 4,898.31

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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.