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Finding the Fourth Proportional to 3,297.34, 4,933.05 and 2,969.02

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Solution

The fourth proportional to 3,297.34, 4,933.05 and 2,969.02 is: 4,441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.34 : 4,933.05 = 2,969.02 : x
  2. Step 2: Convert to fraction form
    3,297.34/4,933.05 = 2,969.02/x
  3. Step 3: Cross multiply
    3,297.34x = 4,933.05 × 2,969.02
  4. Step 4: Simplify right side
    3,297.34x = 14,646,324.11
  5. Step 5: Solve for x
    x = 14,646,324.11/3,297.34
  6. Step 6: Final answer
    x = 4,441.86

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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.