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Finding the Fourth Proportional to 3,767.56, 5,646.90 and 2,208.32

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Solution

The fourth proportional to 3,767.56, 5,646.90 and 2,208.32 is: 3,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.56 : 5,646.90 = 2,208.32 : x
  2. Step 2: Convert to fraction form
    3,767.56/5,646.90 = 2,208.32/x
  3. Step 3: Cross multiply
    3,767.56x = 5,646.90 × 2,208.32
  4. Step 4: Simplify right side
    3,767.56x = 12,470,162.21
  5. Step 5: Solve for x
    x = 12,470,162.21/3,767.56
  6. Step 6: Final answer
    x = 3,309.88

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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.