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Finding the Fourth Proportional to 4,113.67, 6,170.55 and 3,290.89

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Solution

The fourth proportional to 4,113.67, 6,170.55 and 3,290.89 is: 4,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.67 : 6,170.55 = 3,290.89 : x
  2. Step 2: Convert to fraction form
    4,113.67/6,170.55 = 3,290.89/x
  3. Step 3: Cross multiply
    4,113.67x = 6,170.55 × 3,290.89
  4. Step 4: Simplify right side
    4,113.67x = 20,306,601.29
  5. Step 5: Solve for x
    x = 20,306,601.29/4,113.67
  6. Step 6: Final answer
    x = 4,936.37

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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.