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Finding the Fourth Proportional to 4,626.44, 6,382.95 and 2,609.60

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Solution

The fourth proportional to 4,626.44, 6,382.95 and 2,609.60 is: 3,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.44 : 6,382.95 = 2,609.60 : x
  2. Step 2: Convert to fraction form
    4,626.44/6,382.95 = 2,609.60/x
  3. Step 3: Cross multiply
    4,626.44x = 6,382.95 × 2,609.60
  4. Step 4: Simplify right side
    4,626.44x = 16,656,933.27
  5. Step 5: Solve for x
    x = 16,656,933.27/4,626.44
  6. Step 6: Final answer
    x = 3,600.38

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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.