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Finding the Fourth Proportional to 5,274, 7,274.88 and 3,504.96

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Solution

The fourth proportional to 5,274, 7,274.88 and 3,504.96 is: 4,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274 : 7,274.88 = 3,504.96 : x
  2. Step 2: Convert to fraction form
    5,274/7,274.88 = 3,504.96/x
  3. Step 3: Cross multiply
    5,274x = 7,274.88 × 3,504.96
  4. Step 4: Simplify right side
    5,274x = 25,498,163.40
  5. Step 5: Solve for x
    x = 25,498,163.40/5,274
  6. Step 6: Final answer
    x = 4,834.69

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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.