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Finding the Fourth Proportional to 3,671.95, 5,498.19 and 2,209.09

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Solution

The fourth proportional to 3,671.95, 5,498.19 and 2,209.09 is: 3,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.95 : 5,498.19 = 2,209.09 : x
  2. Step 2: Convert to fraction form
    3,671.95/5,498.19 = 2,209.09/x
  3. Step 3: Cross multiply
    3,671.95x = 5,498.19 × 2,209.09
  4. Step 4: Simplify right side
    3,671.95x = 12,145,996.55
  5. Step 5: Solve for x
    x = 12,145,996.55/3,671.95
  6. Step 6: Final answer
    x = 3,307.78

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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.