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Finding the Fourth Proportional to 5,633.06, 8,447.46 and 1,884.06

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Solution

The fourth proportional to 5,633.06, 8,447.46 and 1,884.06 is: 2,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.06 : 8,447.46 = 1,884.06 : x
  2. Step 2: Convert to fraction form
    5,633.06/8,447.46 = 1,884.06/x
  3. Step 3: Cross multiply
    5,633.06x = 8,447.46 × 1,884.06
  4. Step 4: Simplify right side
    5,633.06x = 15,915,521.49
  5. Step 5: Solve for x
    x = 15,915,521.49/5,633.06
  6. Step 6: Final answer
    x = 2,825.38

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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.