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Finding the Fourth Proportional to 3,913, 5,402.82 and 2,668.84

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Solution

The fourth proportional to 3,913, 5,402.82 and 2,668.84 is: 3,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913 : 5,402.82 = 2,668.84 : x
  2. Step 2: Convert to fraction form
    3,913/5,402.82 = 2,668.84/x
  3. Step 3: Cross multiply
    3,913x = 5,402.82 × 2,668.84
  4. Step 4: Simplify right side
    3,913x = 14,419,262.13
  5. Step 5: Solve for x
    x = 14,419,262.13/3,913
  6. Step 6: Final answer
    x = 3,684.96

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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.