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Finding the Fourth Proportional to 3,656.04, 5,028.96 and 3,205.68

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Solution

The fourth proportional to 3,656.04, 5,028.96 and 3,205.68 is: 4,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.04 : 5,028.96 = 3,205.68 : x
  2. Step 2: Convert to fraction form
    3,656.04/5,028.96 = 3,205.68/x
  3. Step 3: Cross multiply
    3,656.04x = 5,028.96 × 3,205.68
  4. Step 4: Simplify right side
    3,656.04x = 16,121,236.49
  5. Step 5: Solve for x
    x = 16,121,236.49/3,656.04
  6. Step 6: Final answer
    x = 4,409.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.