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Finding the Fourth Proportional to 3,635.86, 5,444.01 and 1,900.84

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Solution

The fourth proportional to 3,635.86, 5,444.01 and 1,900.84 is: 2,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.86 : 5,444.01 = 1,900.84 : x
  2. Step 2: Convert to fraction form
    3,635.86/5,444.01 = 1,900.84/x
  3. Step 3: Cross multiply
    3,635.86x = 5,444.01 × 1,900.84
  4. Step 4: Simplify right side
    3,635.86x = 10,348,191.97
  5. Step 5: Solve for x
    x = 10,348,191.97/3,635.86
  6. Step 6: Final answer
    x = 2,846.15

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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.