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Finding the Fourth Proportional to 3,988.38, 5,973.28 and 3,849.96

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Solution

The fourth proportional to 3,988.38, 5,973.28 and 3,849.96 is: 5,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.38 : 5,973.28 = 3,849.96 : x
  2. Step 2: Convert to fraction form
    3,988.38/5,973.28 = 3,849.96/x
  3. Step 3: Cross multiply
    3,988.38x = 5,973.28 × 3,849.96
  4. Step 4: Simplify right side
    3,988.38x = 22,996,889.07
  5. Step 5: Solve for x
    x = 22,996,889.07/3,988.38
  6. Step 6: Final answer
    x = 5,765.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.