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Finding the Fourth Proportional to 5,348.20, 8,020.86 and 1,885

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Solution

The fourth proportional to 5,348.20, 8,020.86 and 1,885 is: 2,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.20 : 8,020.86 = 1,885 : x
  2. Step 2: Convert to fraction form
    5,348.20/8,020.86 = 1,885/x
  3. Step 3: Cross multiply
    5,348.20x = 8,020.86 × 1,885
  4. Step 4: Simplify right side
    5,348.20x = 15,119,321.10
  5. Step 5: Solve for x
    x = 15,119,321.10/5,348.20
  6. Step 6: Final answer
    x = 2,826.99

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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.