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Finding the Fourth Proportional to 3,835.28, 5,753.28 and 1,644.20

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Solution

The fourth proportional to 3,835.28, 5,753.28 and 1,644.20 is: 2,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.28 : 5,753.28 = 1,644.20 : x
  2. Step 2: Convert to fraction form
    3,835.28/5,753.28 = 1,644.20/x
  3. Step 3: Cross multiply
    3,835.28x = 5,753.28 × 1,644.20
  4. Step 4: Simplify right side
    3,835.28x = 9,459,542.98
  5. Step 5: Solve for x
    x = 9,459,542.98/3,835.28
  6. Step 6: Final answer
    x = 2,466.45

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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.