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Finding the Fourth Proportional to 3,672.12, 5,509.68 and 2,212.32

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Solution

The fourth proportional to 3,672.12, 5,509.68 and 2,212.32 is: 3,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.12 : 5,509.68 = 2,212.32 : x
  2. Step 2: Convert to fraction form
    3,672.12/5,509.68 = 2,212.32/x
  3. Step 3: Cross multiply
    3,672.12x = 5,509.68 × 2,212.32
  4. Step 4: Simplify right side
    3,672.12x = 12,189,175.26
  5. Step 5: Solve for x
    x = 12,189,175.26/3,672.12
  6. Step 6: Final answer
    x = 3,319.38

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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.