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Finding the Fourth Proportional to 5,684.74, 7,843.80 and 3,326.44

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Solution

The fourth proportional to 5,684.74, 7,843.80 and 3,326.44 is: 4,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.74 : 7,843.80 = 3,326.44 : x
  2. Step 2: Convert to fraction form
    5,684.74/7,843.80 = 3,326.44/x
  3. Step 3: Cross multiply
    5,684.74x = 7,843.80 × 3,326.44
  4. Step 4: Simplify right side
    5,684.74x = 26,091,930.07
  5. Step 5: Solve for x
    x = 26,091,930.07/5,684.74
  6. Step 6: Final answer
    x = 4,589.82

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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.