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Finding the Fourth Proportional to 5,667.82, 7,822.08 and 3,310.72

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Solution

The fourth proportional to 5,667.82, 7,822.08 and 3,310.72 is: 4,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.82 : 7,822.08 = 3,310.72 : x
  2. Step 2: Convert to fraction form
    5,667.82/7,822.08 = 3,310.72/x
  3. Step 3: Cross multiply
    5,667.82x = 7,822.08 × 3,310.72
  4. Step 4: Simplify right side
    5,667.82x = 25,896,716.70
  5. Step 5: Solve for x
    x = 25,896,716.70/5,667.82
  6. Step 6: Final answer
    x = 4,569.08

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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.