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Finding the Fourth Proportional to 5,564.73, 7,679.70 and 3,207.03

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Solution

The fourth proportional to 5,564.73, 7,679.70 and 3,207.03 is: 4,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.73 : 7,679.70 = 3,207.03 : x
  2. Step 2: Convert to fraction form
    5,564.73/7,679.70 = 3,207.03/x
  3. Step 3: Cross multiply
    5,564.73x = 7,679.70 × 3,207.03
  4. Step 4: Simplify right side
    5,564.73x = 24,629,028.29
  5. Step 5: Solve for x
    x = 24,629,028.29/5,564.73
  6. Step 6: Final answer
    x = 4,425.92

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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.