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Finding the Fourth Proportional to 3,165.66, 4,369.32 and 2,540.34

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Solution

The fourth proportional to 3,165.66, 4,369.32 and 2,540.34 is: 3,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.66 : 4,369.32 = 2,540.34 : x
  2. Step 2: Convert to fraction form
    3,165.66/4,369.32 = 2,540.34/x
  3. Step 3: Cross multiply
    3,165.66x = 4,369.32 × 2,540.34
  4. Step 4: Simplify right side
    3,165.66x = 11,099,558.37
  5. Step 5: Solve for x
    x = 11,099,558.37/3,165.66
  6. Step 6: Final answer
    x = 3,506.24

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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.