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Finding the Fourth Proportional to 3,771.59, 5,205 and 2,446.43

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Solution

The fourth proportional to 3,771.59, 5,205 and 2,446.43 is: 3,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.59 : 5,205 = 2,446.43 : x
  2. Step 2: Convert to fraction form
    3,771.59/5,205 = 2,446.43/x
  3. Step 3: Cross multiply
    3,771.59x = 5,205 × 2,446.43
  4. Step 4: Simplify right side
    3,771.59x = 12,733,642.13
  5. Step 5: Solve for x
    x = 12,733,642.13/3,771.59
  6. Step 6: Final answer
    x = 3,376.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.