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Finding the Fourth Proportional to 4,559.56, 6,826.22 and 4,084.68

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Solution

The fourth proportional to 4,559.56, 6,826.22 and 4,084.68 is: 6,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.56 : 6,826.22 = 4,084.68 : x
  2. Step 2: Convert to fraction form
    4,559.56/6,826.22 = 4,084.68/x
  3. Step 3: Cross multiply
    4,559.56x = 6,826.22 × 4,084.68
  4. Step 4: Simplify right side
    4,559.56x = 27,882,924.31
  5. Step 5: Solve for x
    x = 27,882,924.31/4,559.56
  6. Step 6: Final answer
    x = 6,115.27

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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.