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Finding the Fourth Proportional to 4,600.38, 6,348.68 and 2,584.15

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Solution

The fourth proportional to 4,600.38, 6,348.68 and 2,584.15 is: 3,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.38 : 6,348.68 = 2,584.15 : x
  2. Step 2: Convert to fraction form
    4,600.38/6,348.68 = 2,584.15/x
  3. Step 3: Cross multiply
    4,600.38x = 6,348.68 × 2,584.15
  4. Step 4: Simplify right side
    4,600.38x = 16,405,928.50
  5. Step 5: Solve for x
    x = 16,405,928.50/4,600.38
  6. Step 6: Final answer
    x = 3,566.21

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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.