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Finding the Fourth Proportional to 5,416, 7,474.09 and 2,932

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Solution

The fourth proportional to 5,416, 7,474.09 and 2,932 is: 4,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 7,474.09 = 2,932 : x
  2. Step 2: Convert to fraction form
    5,416/7,474.09 = 2,932/x
  3. Step 3: Cross multiply
    5,416x = 7,474.09 × 2,932
  4. Step 4: Simplify right side
    5,416x = 21,914,031.88
  5. Step 5: Solve for x
    x = 21,914,031.88/5,416
  6. Step 6: Final answer
    x = 4,046.17

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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.