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Finding the Fourth Proportional to 3,667.98, 5,058 and 2,828.82

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Solution

The fourth proportional to 3,667.98, 5,058 and 2,828.82 is: 3,900.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.98 : 5,058 = 2,828.82 : x
  2. Step 2: Convert to fraction form
    3,667.98/5,058 = 2,828.82/x
  3. Step 3: Cross multiply
    3,667.98x = 5,058 × 2,828.82
  4. Step 4: Simplify right side
    3,667.98x = 14,308,171.56
  5. Step 5: Solve for x
    x = 14,308,171.56/3,667.98
  6. Step 6: Final answer
    x = 3,900.83

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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.