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Finding the Fourth Proportional to 3,671.46, 5,508.05 and 1,206.27

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Solution

The fourth proportional to 3,671.46, 5,508.05 and 1,206.27 is: 1,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.46 : 5,508.05 = 1,206.27 : x
  2. Step 2: Convert to fraction form
    3,671.46/5,508.05 = 1,206.27/x
  3. Step 3: Cross multiply
    3,671.46x = 5,508.05 × 1,206.27
  4. Step 4: Simplify right side
    3,671.46x = 6,644,189.44
  5. Step 5: Solve for x
    x = 6,644,189.44/3,671.46
  6. Step 6: Final answer
    x = 1,809.69

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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.