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Finding the Fourth Proportional to 3,639.90, 5,461.32 and 1,449.30

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Solution

The fourth proportional to 3,639.90, 5,461.32 and 1,449.30 is: 2,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.90 : 5,461.32 = 1,449.30 : x
  2. Step 2: Convert to fraction form
    3,639.90/5,461.32 = 1,449.30/x
  3. Step 3: Cross multiply
    3,639.90x = 5,461.32 × 1,449.30
  4. Step 4: Simplify right side
    3,639.90x = 7,915,091.08
  5. Step 5: Solve for x
    x = 7,915,091.08/3,639.90
  6. Step 6: Final answer
    x = 2,174.54

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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.