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Finding the Fourth Proportional to 5,667.98, 7,821.36 and 3,309.66

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Solution

The fourth proportional to 5,667.98, 7,821.36 and 3,309.66 is: 4,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.98 : 7,821.36 = 3,309.66 : x
  2. Step 2: Convert to fraction form
    5,667.98/7,821.36 = 3,309.66/x
  3. Step 3: Cross multiply
    5,667.98x = 7,821.36 × 3,309.66
  4. Step 4: Simplify right side
    5,667.98x = 25,886,042.34
  5. Step 5: Solve for x
    x = 25,886,042.34/5,667.98
  6. Step 6: Final answer
    x = 4,567.07

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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.