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Finding the Fourth Proportional to 4,636.08, 6,915.42 and 4,198.32

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Solution

The fourth proportional to 4,636.08, 6,915.42 and 4,198.32 is: 6,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.08 : 6,915.42 = 4,198.32 : x
  2. Step 2: Convert to fraction form
    4,636.08/6,915.42 = 4,198.32/x
  3. Step 3: Cross multiply
    4,636.08x = 6,915.42 × 4,198.32
  4. Step 4: Simplify right side
    4,636.08x = 29,033,146.09
  5. Step 5: Solve for x
    x = 29,033,146.09/4,636.08
  6. Step 6: Final answer
    x = 6,262.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.