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Finding the Fourth Proportional to 3,630.96, 5,441.58 and 1,897.56

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Solution

The fourth proportional to 3,630.96, 5,441.58 and 1,897.56 is: 2,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.96 : 5,441.58 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    3,630.96/5,441.58 = 1,897.56/x
  3. Step 3: Cross multiply
    3,630.96x = 5,441.58 × 1,897.56
  4. Step 4: Simplify right side
    3,630.96x = 10,325,724.54
  5. Step 5: Solve for x
    x = 10,325,724.54/3,630.96
  6. Step 6: Final answer
    x = 2,843.80

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