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Finding the Fourth Proportional to 5,274.38, 7,911.37 and 1,325.66

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Solution

The fourth proportional to 5,274.38, 7,911.37 and 1,325.66 is: 1,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.38 : 7,911.37 = 1,325.66 : x
  2. Step 2: Convert to fraction form
    5,274.38/7,911.37 = 1,325.66/x
  3. Step 3: Cross multiply
    5,274.38x = 7,911.37 × 1,325.66
  4. Step 4: Simplify right side
    5,274.38x = 10,487,786.75
  5. Step 5: Solve for x
    x = 10,487,786.75/5,274.38
  6. Step 6: Final answer
    x = 1,988.44

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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.