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Finding the Fourth Proportional to 5,273.38, 7,909.87 and 1,324.66

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Solution

The fourth proportional to 5,273.38, 7,909.87 and 1,324.66 is: 1,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.38 : 7,909.87 = 1,324.66 : x
  2. Step 2: Convert to fraction form
    5,273.38/7,909.87 = 1,324.66/x
  3. Step 3: Cross multiply
    5,273.38x = 7,909.87 × 1,324.66
  4. Step 4: Simplify right side
    5,273.38x = 10,477,888.39
  5. Step 5: Solve for x
    x = 10,477,888.39/5,273.38
  6. Step 6: Final answer
    x = 1,986.94

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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.