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Finding the Fourth Proportional to 5,634.12, 8,449.02 and 1,935.66

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Solution

The fourth proportional to 5,634.12, 8,449.02 and 1,935.66 is: 2,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.12 : 8,449.02 = 1,935.66 : x
  2. Step 2: Convert to fraction form
    5,634.12/8,449.02 = 1,935.66/x
  3. Step 3: Cross multiply
    5,634.12x = 8,449.02 × 1,935.66
  4. Step 4: Simplify right side
    5,634.12x = 16,354,430.05
  5. Step 5: Solve for x
    x = 16,354,430.05/5,634.12
  6. Step 6: Final answer
    x = 2,902.75

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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.