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Finding the Fourth Proportional to 3,511.76, 4,844.61 and 2,464.43

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Solution

The fourth proportional to 3,511.76, 4,844.61 and 2,464.43 is: 3,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.76 : 4,844.61 = 2,464.43 : x
  2. Step 2: Convert to fraction form
    3,511.76/4,844.61 = 2,464.43/x
  3. Step 3: Cross multiply
    3,511.76x = 4,844.61 × 2,464.43
  4. Step 4: Simplify right side
    3,511.76x = 11,939,178.00
  5. Step 5: Solve for x
    x = 11,939,178.00/3,511.76
  6. Step 6: Final answer
    x = 3,399.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.