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Finding the Fourth Proportional to 3,699.90, 5,549.85 and 3,639.15

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Solution

The fourth proportional to 3,699.90, 5,549.85 and 3,639.15 is: 5,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.90 : 5,549.85 = 3,639.15 : x
  2. Step 2: Convert to fraction form
    3,699.90/5,549.85 = 3,639.15/x
  3. Step 3: Cross multiply
    3,699.90x = 5,549.85 × 3,639.15
  4. Step 4: Simplify right side
    3,699.90x = 20,196,736.63
  5. Step 5: Solve for x
    x = 20,196,736.63/3,699.90
  6. Step 6: Final answer
    x = 5,458.73

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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.