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Finding the Fourth Proportional to 3,629.12, 5,443.04 and 1,576

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Solution

The fourth proportional to 3,629.12, 5,443.04 and 1,576 is: 2,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.12 : 5,443.04 = 1,576 : x
  2. Step 2: Convert to fraction form
    3,629.12/5,443.04 = 1,576/x
  3. Step 3: Cross multiply
    3,629.12x = 5,443.04 × 1,576
  4. Step 4: Simplify right side
    3,629.12x = 8,578,231.04
  5. Step 5: Solve for x
    x = 8,578,231.04/3,629.12
  6. Step 6: Final answer
    x = 2,363.72

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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.