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Finding the Fourth Proportional to 5,676.75, 8,513.46 and 2,389.77

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Solution

The fourth proportional to 5,676.75, 8,513.46 and 2,389.77 is: 3,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.75 : 8,513.46 = 2,389.77 : x
  2. Step 2: Convert to fraction form
    5,676.75/8,513.46 = 2,389.77/x
  3. Step 3: Cross multiply
    5,676.75x = 8,513.46 × 2,389.77
  4. Step 4: Simplify right side
    5,676.75x = 20,345,211.30
  5. Step 5: Solve for x
    x = 20,345,211.30/5,676.75
  6. Step 6: Final answer
    x = 3,583.95

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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.