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Finding the Fourth Proportional to 3,632.70, 5,446.62 and 1,440.84

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Solution

The fourth proportional to 3,632.70, 5,446.62 and 1,440.84 is: 2,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.70 : 5,446.62 = 1,440.84 : x
  2. Step 2: Convert to fraction form
    3,632.70/5,446.62 = 1,440.84/x
  3. Step 3: Cross multiply
    3,632.70x = 5,446.62 × 1,440.84
  4. Step 4: Simplify right side
    3,632.70x = 7,847,707.96
  5. Step 5: Solve for x
    x = 7,847,707.96/3,632.70
  6. Step 6: Final answer
    x = 2,160.30

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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.