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Finding the Fourth Proportional to 5,673.82, 7,829.67 and 3,317.50

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Solution

The fourth proportional to 5,673.82, 7,829.67 and 3,317.50 is: 4,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.82 : 7,829.67 = 3,317.50 : x
  2. Step 2: Convert to fraction form
    5,673.82/7,829.67 = 3,317.50/x
  3. Step 3: Cross multiply
    5,673.82x = 7,829.67 × 3,317.50
  4. Step 4: Simplify right side
    5,673.82x = 25,974,930.23
  5. Step 5: Solve for x
    x = 25,974,930.23/5,673.82
  6. Step 6: Final answer
    x = 4,578.03

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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.