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Finding the Fourth Proportional to 5,165.66, 7,744.16 and 2,394.32

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Solution

The fourth proportional to 5,165.66, 7,744.16 and 2,394.32 is: 3,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.66 : 7,744.16 = 2,394.32 : x
  2. Step 2: Convert to fraction form
    5,165.66/7,744.16 = 2,394.32/x
  3. Step 3: Cross multiply
    5,165.66x = 7,744.16 × 2,394.32
  4. Step 4: Simplify right side
    5,165.66x = 18,541,964.44
  5. Step 5: Solve for x
    x = 18,541,964.44/5,165.66
  6. Step 6: Final answer
    x = 3,589.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.