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Finding the Fourth Proportional to 4,165.64, 5,749.81 and 2,398.49

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Solution

The fourth proportional to 4,165.64, 5,749.81 and 2,398.49 is: 3,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.64 : 5,749.81 = 2,398.49 : x
  2. Step 2: Convert to fraction form
    4,165.64/5,749.81 = 2,398.49/x
  3. Step 3: Cross multiply
    4,165.64x = 5,749.81 × 2,398.49
  4. Step 4: Simplify right side
    4,165.64x = 13,790,827.04
  5. Step 5: Solve for x
    x = 13,790,827.04/4,165.64
  6. Step 6: Final answer
    x = 3,310.62

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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.