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Finding the Fourth Proportional to 5,680.22, 7,841.96 and 3,798.03

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Solution

The fourth proportional to 5,680.22, 7,841.96 and 3,798.03 is: 5,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.22 : 7,841.96 = 3,798.03 : x
  2. Step 2: Convert to fraction form
    5,680.22/7,841.96 = 3,798.03/x
  3. Step 3: Cross multiply
    5,680.22x = 7,841.96 × 3,798.03
  4. Step 4: Simplify right side
    5,680.22x = 29,783,999.34
  5. Step 5: Solve for x
    x = 29,783,999.34/5,680.22
  6. Step 6: Final answer
    x = 5,243.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.