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Finding the Fourth Proportional to 3,884, 5,826.04 and 2,156.26

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Solution

The fourth proportional to 3,884, 5,826.04 and 2,156.26 is: 3,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,826.04 = 2,156.26 : x
  2. Step 2: Convert to fraction form
    3,884/5,826.04 = 2,156.26/x
  3. Step 3: Cross multiply
    3,884x = 5,826.04 × 2,156.26
  4. Step 4: Simplify right side
    3,884x = 12,562,457.01
  5. Step 5: Solve for x
    x = 12,562,457.01/3,884
  6. Step 6: Final answer
    x = 3,234.41

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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.