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Finding the Fourth Proportional to 4,739.22, 6,543.17 and 4,241

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Solution

The fourth proportional to 4,739.22, 6,543.17 and 4,241 is: 5,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.22 : 6,543.17 = 4,241 : x
  2. Step 2: Convert to fraction form
    4,739.22/6,543.17 = 4,241/x
  3. Step 3: Cross multiply
    4,739.22x = 6,543.17 × 4,241
  4. Step 4: Simplify right side
    4,739.22x = 27,749,583.97
  5. Step 5: Solve for x
    x = 27,749,583.97/4,739.22
  6. Step 6: Final answer
    x = 5,855.31

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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.