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Finding the Fourth Proportional to 3,628.44, 5,440.32 and 1,549.80

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Solution

The fourth proportional to 3,628.44, 5,440.32 and 1,549.80 is: 2,323.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.44 : 5,440.32 = 1,549.80 : x
  2. Step 2: Convert to fraction form
    3,628.44/5,440.32 = 1,549.80/x
  3. Step 3: Cross multiply
    3,628.44x = 5,440.32 × 1,549.80
  4. Step 4: Simplify right side
    3,628.44x = 8,431,407.94
  5. Step 5: Solve for x
    x = 8,431,407.94/3,628.44
  6. Step 6: Final answer
    x = 2,323.70

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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.