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Finding the Fourth Proportional to 4,725.82, 7,079.50 and 3,474.10

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Solution

The fourth proportional to 4,725.82, 7,079.50 and 3,474.10 is: 5,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.82 : 7,079.50 = 3,474.10 : x
  2. Step 2: Convert to fraction form
    4,725.82/7,079.50 = 3,474.10/x
  3. Step 3: Cross multiply
    4,725.82x = 7,079.50 × 3,474.10
  4. Step 4: Simplify right side
    4,725.82x = 24,594,914.10
  5. Step 5: Solve for x
    x = 24,594,914.10/4,725.82
  6. Step 6: Final answer
    x = 5,204.37

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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.