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Finding the Fourth Proportional to 3,446.22, 5,135.10 and 3,278.86

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Solution

The fourth proportional to 3,446.22, 5,135.10 and 3,278.86 is: 4,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.22 : 5,135.10 = 3,278.86 : x
  2. Step 2: Convert to fraction form
    3,446.22/5,135.10 = 3,278.86/x
  3. Step 3: Cross multiply
    3,446.22x = 5,135.10 × 3,278.86
  4. Step 4: Simplify right side
    3,446.22x = 16,837,273.99
  5. Step 5: Solve for x
    x = 16,837,273.99/3,446.22
  6. Step 6: Final answer
    x = 4,885.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.