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Finding the Fourth Proportional to 3,699.36, 5,539.68 and 2,234.88

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Solution

The fourth proportional to 3,699.36, 5,539.68 and 2,234.88 is: 3,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.36 : 5,539.68 = 2,234.88 : x
  2. Step 2: Convert to fraction form
    3,699.36/5,539.68 = 2,234.88/x
  3. Step 3: Cross multiply
    3,699.36x = 5,539.68 × 2,234.88
  4. Step 4: Simplify right side
    3,699.36x = 12,380,520.04
  5. Step 5: Solve for x
    x = 12,380,520.04/3,699.36
  6. Step 6: Final answer
    x = 3,346.67

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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.