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Finding the Fourth Proportional to 5,705.41, 8,481.13 and 5,537.24

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Solution

The fourth proportional to 5,705.41, 8,481.13 and 5,537.24 is: 8,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.41 : 8,481.13 = 5,537.24 : x
  2. Step 2: Convert to fraction form
    5,705.41/8,481.13 = 5,537.24/x
  3. Step 3: Cross multiply
    5,705.41x = 8,481.13 × 5,537.24
  4. Step 4: Simplify right side
    5,705.41x = 46,962,052.28
  5. Step 5: Solve for x
    x = 46,962,052.28/5,705.41
  6. Step 6: Final answer
    x = 8,231.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.