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Finding the Fourth Proportional to 3,816.28, 5,722.65 and 1,736.20

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Solution

The fourth proportional to 3,816.28, 5,722.65 and 1,736.20 is: 2,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.28 : 5,722.65 = 1,736.20 : x
  2. Step 2: Convert to fraction form
    3,816.28/5,722.65 = 1,736.20/x
  3. Step 3: Cross multiply
    3,816.28x = 5,722.65 × 1,736.20
  4. Step 4: Simplify right side
    3,816.28x = 9,935,664.93
  5. Step 5: Solve for x
    x = 9,935,664.93/3,816.28
  6. Step 6: Final answer
    x = 2,603.49

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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.