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Finding the Fourth Proportional to 5,739.40, 7,920.48 and 3,382.84

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Solution

The fourth proportional to 5,739.40, 7,920.48 and 3,382.84 is: 4,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.40 : 7,920.48 = 3,382.84 : x
  2. Step 2: Convert to fraction form
    5,739.40/7,920.48 = 3,382.84/x
  3. Step 3: Cross multiply
    5,739.40x = 7,920.48 × 3,382.84
  4. Step 4: Simplify right side
    5,739.40x = 26,793,716.56
  5. Step 5: Solve for x
    x = 26,793,716.56/5,739.40
  6. Step 6: Final answer
    x = 4,668.38

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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.