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Finding the Fourth Proportional to 3,821.44, 5,720.16 and 2,628.50

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Solution

The fourth proportional to 3,821.44, 5,720.16 and 2,628.50 is: 3,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.44 : 5,720.16 = 2,628.50 : x
  2. Step 2: Convert to fraction form
    3,821.44/5,720.16 = 2,628.50/x
  3. Step 3: Cross multiply
    3,821.44x = 5,720.16 × 2,628.50
  4. Step 4: Simplify right side
    3,821.44x = 15,035,439.67
  5. Step 5: Solve for x
    x = 15,035,439.67/3,821.44
  6. Step 6: Final answer
    x = 3,934.50

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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.