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Finding the Fourth Proportional to 3,674.68, 5,511.02 and 1,453.16

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Solution

The fourth proportional to 3,674.68, 5,511.02 and 1,453.16 is: 2,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.68 : 5,511.02 = 1,453.16 : x
  2. Step 2: Convert to fraction form
    3,674.68/5,511.02 = 1,453.16/x
  3. Step 3: Cross multiply
    3,674.68x = 5,511.02 × 1,453.16
  4. Step 4: Simplify right side
    3,674.68x = 8,008,393.82
  5. Step 5: Solve for x
    x = 8,008,393.82/3,674.68
  6. Step 6: Final answer
    x = 2,179.34

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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.