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Finding the Fourth Proportional to 3,736.70, 5,597.76 and 2,272.22

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Solution

The fourth proportional to 3,736.70, 5,597.76 and 2,272.22 is: 3,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.70 : 5,597.76 = 2,272.22 : x
  2. Step 2: Convert to fraction form
    3,736.70/5,597.76 = 2,272.22/x
  3. Step 3: Cross multiply
    3,736.70x = 5,597.76 × 2,272.22
  4. Step 4: Simplify right side
    3,736.70x = 12,719,342.23
  5. Step 5: Solve for x
    x = 12,719,342.23/3,736.70
  6. Step 6: Final answer
    x = 3,403.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.