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Finding the Fourth Proportional to 5,667.23, 7,821.27 and 3,149.84

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Solution

The fourth proportional to 5,667.23, 7,821.27 and 3,149.84 is: 4,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.23 : 7,821.27 = 3,149.84 : x
  2. Step 2: Convert to fraction form
    5,667.23/7,821.27 = 3,149.84/x
  3. Step 3: Cross multiply
    5,667.23x = 7,821.27 × 3,149.84
  4. Step 4: Simplify right side
    5,667.23x = 24,635,749.10
  5. Step 5: Solve for x
    x = 24,635,749.10/5,667.23
  6. Step 6: Final answer
    x = 4,347.05

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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.