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Finding the Fourth Proportional to 5,243.38, 7,865.06 and 1,347.78

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Solution

The fourth proportional to 5,243.38, 7,865.06 and 1,347.78 is: 2,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.38 : 7,865.06 = 1,347.78 : x
  2. Step 2: Convert to fraction form
    5,243.38/7,865.06 = 1,347.78/x
  3. Step 3: Cross multiply
    5,243.38x = 7,865.06 × 1,347.78
  4. Step 4: Simplify right side
    5,243.38x = 10,600,370.57
  5. Step 5: Solve for x
    x = 10,600,370.57/5,243.38
  6. Step 6: Final answer
    x = 2,021.67

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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.