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Finding the Fourth Proportional to 3,935.52, 5,903.82 and 1,744.20

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Solution

The fourth proportional to 3,935.52, 5,903.82 and 1,744.20 is: 2,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.52 : 5,903.82 = 1,744.20 : x
  2. Step 2: Convert to fraction form
    3,935.52/5,903.82 = 1,744.20/x
  3. Step 3: Cross multiply
    3,935.52x = 5,903.82 × 1,744.20
  4. Step 4: Simplify right side
    3,935.52x = 10,297,442.84
  5. Step 5: Solve for x
    x = 10,297,442.84/3,935.52
  6. Step 6: Final answer
    x = 2,616.54

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1.5x scale

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.