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Finding the Fourth Proportional to 3,940.72, 5,903.70 and 3,535

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Solution

The fourth proportional to 3,940.72, 5,903.70 and 3,535 is: 5,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.72 : 5,903.70 = 3,535 : x
  2. Step 2: Convert to fraction form
    3,940.72/5,903.70 = 3,535/x
  3. Step 3: Cross multiply
    3,940.72x = 5,903.70 × 3,535
  4. Step 4: Simplify right side
    3,940.72x = 20,869,579.50
  5. Step 5: Solve for x
    x = 20,869,579.50/3,940.72
  6. Step 6: Final answer
    x = 5,295.88

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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.