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Finding the Fourth Proportional to 3,669, 5,503.34 and 1,819.40

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Solution

The fourth proportional to 3,669, 5,503.34 and 1,819.40 is: 2,729.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,503.34 = 1,819.40 : x
  2. Step 2: Convert to fraction form
    3,669/5,503.34 = 1,819.40/x
  3. Step 3: Cross multiply
    3,669x = 5,503.34 × 1,819.40
  4. Step 4: Simplify right side
    3,669x = 10,012,776.80
  5. Step 5: Solve for x
    x = 10,012,776.80/3,669
  6. Step 6: Final answer
    x = 2,729.02

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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.