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Finding the Fourth Proportional to 3,770.36, 5,200.44 and 2,352.88

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Solution

The fourth proportional to 3,770.36, 5,200.44 and 2,352.88 is: 3,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.36 : 5,200.44 = 2,352.88 : x
  2. Step 2: Convert to fraction form
    3,770.36/5,200.44 = 2,352.88/x
  3. Step 3: Cross multiply
    3,770.36x = 5,200.44 × 2,352.88
  4. Step 4: Simplify right side
    3,770.36x = 12,236,011.27
  5. Step 5: Solve for x
    x = 12,236,011.27/3,770.36
  6. Step 6: Final answer
    x = 3,245.32

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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.