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Finding the Fourth Proportional to 3,290.62, 4,920.96 and 2,458.26

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Solution

The fourth proportional to 3,290.62, 4,920.96 and 2,458.26 is: 3,676.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.62 : 4,920.96 = 2,458.26 : x
  2. Step 2: Convert to fraction form
    3,290.62/4,920.96 = 2,458.26/x
  3. Step 3: Cross multiply
    3,290.62x = 4,920.96 × 2,458.26
  4. Step 4: Simplify right side
    3,290.62x = 12,096,999.13
  5. Step 5: Solve for x
    x = 12,096,999.13/3,290.62
  6. Step 6: Final answer
    x = 3,676.21

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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.