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Finding the Fourth Proportional to 3,599.60, 5,399.30 and 1,966.49

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Solution

The fourth proportional to 3,599.60, 5,399.30 and 1,966.49 is: 2,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.60 : 5,399.30 = 1,966.49 : x
  2. Step 2: Convert to fraction form
    3,599.60/5,399.30 = 1,966.49/x
  3. Step 3: Cross multiply
    3,599.60x = 5,399.30 × 1,966.49
  4. Step 4: Simplify right side
    3,599.60x = 10,617,632.63
  5. Step 5: Solve for x
    x = 10,617,632.63/3,599.60
  6. Step 6: Final answer
    x = 2,949.67

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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.