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Finding the Fourth Proportional to 3,297.96, 4,552.65 and 2,104.56

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Solution

The fourth proportional to 3,297.96, 4,552.65 and 2,104.56 is: 2,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.96 : 4,552.65 = 2,104.56 : x
  2. Step 2: Convert to fraction form
    3,297.96/4,552.65 = 2,104.56/x
  3. Step 3: Cross multiply
    3,297.96x = 4,552.65 × 2,104.56
  4. Step 4: Simplify right side
    3,297.96x = 9,581,325.08
  5. Step 5: Solve for x
    x = 9,581,325.08/3,297.96
  6. Step 6: Final answer
    x = 2,905.23

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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.