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Finding the Fourth Proportional to 5,633.68, 8,451.53 and 1,934.95

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Solution

The fourth proportional to 5,633.68, 8,451.53 and 1,934.95 is: 2,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.68 : 8,451.53 = 1,934.95 : x
  2. Step 2: Convert to fraction form
    5,633.68/8,451.53 = 1,934.95/x
  3. Step 3: Cross multiply
    5,633.68x = 8,451.53 × 1,934.95
  4. Step 4: Simplify right side
    5,633.68x = 16,353,287.97
  5. Step 5: Solve for x
    x = 16,353,287.97/5,633.68
  6. Step 6: Final answer
    x = 2,902.77

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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.