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Finding the Fourth Proportional to 6,254.75, 8,638.52 and 4,855.37

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Solution

The fourth proportional to 6,254.75, 8,638.52 and 4,855.37 is: 6,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.75 : 8,638.52 = 4,855.37 : x
  2. Step 2: Convert to fraction form
    6,254.75/8,638.52 = 4,855.37/x
  3. Step 3: Cross multiply
    6,254.75x = 8,638.52 × 4,855.37
  4. Step 4: Simplify right side
    6,254.75x = 41,943,143.38
  5. Step 5: Solve for x
    x = 41,943,143.38/6,254.75
  6. Step 6: Final answer
    x = 6,705.80

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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.