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Finding the Fourth Proportional to 3,634.60, 5,443.80 and 1,901.20

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Solution

The fourth proportional to 3,634.60, 5,443.80 and 1,901.20 is: 2,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.60 : 5,443.80 = 1,901.20 : x
  2. Step 2: Convert to fraction form
    3,634.60/5,443.80 = 1,901.20/x
  3. Step 3: Cross multiply
    3,634.60x = 5,443.80 × 1,901.20
  4. Step 4: Simplify right side
    3,634.60x = 10,349,752.56
  5. Step 5: Solve for x
    x = 10,349,752.56/3,634.60
  6. Step 6: Final answer
    x = 2,847.56

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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.