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Finding the Fourth Proportional to 4,594.08, 6,348.06 and 4,198.80

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Solution

The fourth proportional to 4,594.08, 6,348.06 and 4,198.80 is: 5,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.08 : 6,348.06 = 4,198.80 : x
  2. Step 2: Convert to fraction form
    4,594.08/6,348.06 = 4,198.80/x
  3. Step 3: Cross multiply
    4,594.08x = 6,348.06 × 4,198.80
  4. Step 4: Simplify right side
    4,594.08x = 26,654,234.33
  5. Step 5: Solve for x
    x = 26,654,234.33/4,594.08
  6. Step 6: Final answer
    x = 5,801.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.