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Finding the Fourth Proportional to 6,425.82, 8,855.19 and 4,559.58

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Solution

The fourth proportional to 6,425.82, 8,855.19 and 4,559.58 is: 6,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.82 : 8,855.19 = 4,559.58 : x
  2. Step 2: Convert to fraction form
    6,425.82/8,855.19 = 4,559.58/x
  3. Step 3: Cross multiply
    6,425.82x = 8,855.19 × 4,559.58
  4. Step 4: Simplify right side
    6,425.82x = 40,375,947.22
  5. Step 5: Solve for x
    x = 40,375,947.22/6,425.82
  6. Step 6: Final answer
    x = 6,283.39

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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.