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Finding the Fourth Proportional to 5,949.96, 8,938.60 and 4,198.98

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Solution

The fourth proportional to 5,949.96, 8,938.60 and 4,198.98 is: 6,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.96 : 8,938.60 = 4,198.98 : x
  2. Step 2: Convert to fraction form
    5,949.96/8,938.60 = 4,198.98/x
  3. Step 3: Cross multiply
    5,949.96x = 8,938.60 × 4,198.98
  4. Step 4: Simplify right side
    5,949.96x = 37,533,002.63
  5. Step 5: Solve for x
    x = 37,533,002.63/5,949.96
  6. Step 6: Final answer
    x = 6,308.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.