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Finding the Fourth Proportional to 4,638.98, 6,958.49 and 1,352.09

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Solution

The fourth proportional to 4,638.98, 6,958.49 and 1,352.09 is: 2,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.98 : 6,958.49 = 1,352.09 : x
  2. Step 2: Convert to fraction form
    4,638.98/6,958.49 = 1,352.09/x
  3. Step 3: Cross multiply
    4,638.98x = 6,958.49 × 1,352.09
  4. Step 4: Simplify right side
    4,638.98x = 9,408,504.74
  5. Step 5: Solve for x
    x = 9,408,504.74/4,638.98
  6. Step 6: Final answer
    x = 2,028.14

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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.