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Finding the Fourth Proportional to 5,673.39, 7,814.61 and 3,968.88

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Solution

The fourth proportional to 5,673.39, 7,814.61 and 3,968.88 is: 5,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.39 : 7,814.61 = 3,968.88 : x
  2. Step 2: Convert to fraction form
    5,673.39/7,814.61 = 3,968.88/x
  3. Step 3: Cross multiply
    5,673.39x = 7,814.61 × 3,968.88
  4. Step 4: Simplify right side
    5,673.39x = 31,015,249.34
  5. Step 5: Solve for x
    x = 31,015,249.34/5,673.39
  6. Step 6: Final answer
    x = 5,466.79

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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.