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Finding the Fourth Proportional to 3,674.17, 5,511.73 and 1,209.24

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Solution

The fourth proportional to 3,674.17, 5,511.73 and 1,209.24 is: 1,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.17 : 5,511.73 = 1,209.24 : x
  2. Step 2: Convert to fraction form
    3,674.17/5,511.73 = 1,209.24/x
  3. Step 3: Cross multiply
    3,674.17x = 5,511.73 × 1,209.24
  4. Step 4: Simplify right side
    3,674.17x = 6,664,998.34
  5. Step 5: Solve for x
    x = 6,664,998.34/3,674.17
  6. Step 6: Final answer
    x = 1,814.01

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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.