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Finding the Fourth Proportional to 3,597.41, 4,964.76 and 2,105.24

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Solution

The fourth proportional to 3,597.41, 4,964.76 and 2,105.24 is: 2,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.41 : 4,964.76 = 2,105.24 : x
  2. Step 2: Convert to fraction form
    3,597.41/4,964.76 = 2,105.24/x
  3. Step 3: Cross multiply
    3,597.41x = 4,964.76 × 2,105.24
  4. Step 4: Simplify right side
    3,597.41x = 10,451,986.52
  5. Step 5: Solve for x
    x = 10,451,986.52/3,597.41
  6. Step 6: Final answer
    x = 2,905.42

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