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Finding the Fourth Proportional to 3,399.02, 4,683.47 and 3,165.27

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Solution

The fourth proportional to 3,399.02, 4,683.47 and 3,165.27 is: 4,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.02 : 4,683.47 = 3,165.27 : x
  2. Step 2: Convert to fraction form
    3,399.02/4,683.47 = 3,165.27/x
  3. Step 3: Cross multiply
    3,399.02x = 4,683.47 × 3,165.27
  4. Step 4: Simplify right side
    3,399.02x = 14,824,431.26
  5. Step 5: Solve for x
    x = 14,824,431.26/3,399.02
  6. Step 6: Final answer
    x = 4,361.38

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Why These Related Problems?

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