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Finding the Fourth Proportional to 4,920.86, 7,381.26 and 1,634.20

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Solution

The fourth proportional to 4,920.86, 7,381.26 and 1,634.20 is: 2,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.86 : 7,381.26 = 1,634.20 : x
  2. Step 2: Convert to fraction form
    4,920.86/7,381.26 = 1,634.20/x
  3. Step 3: Cross multiply
    4,920.86x = 7,381.26 × 1,634.20
  4. Step 4: Simplify right side
    4,920.86x = 12,062,455.09
  5. Step 5: Solve for x
    x = 12,062,455.09/4,920.86
  6. Step 6: Final answer
    x = 2,451.29

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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.