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Finding the Fourth Proportional to 3,474.16, 5,214.48 and 1,744

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Solution

The fourth proportional to 3,474.16, 5,214.48 and 1,744 is: 2,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.16 : 5,214.48 = 1,744 : x
  2. Step 2: Convert to fraction form
    3,474.16/5,214.48 = 1,744/x
  3. Step 3: Cross multiply
    3,474.16x = 5,214.48 × 1,744
  4. Step 4: Simplify right side
    3,474.16x = 9,094,053.12
  5. Step 5: Solve for x
    x = 9,094,053.12/3,474.16
  6. Step 6: Final answer
    x = 2,617.63

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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.