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Finding the Fourth Proportional to 3,833.28, 5,742.36 and 3,563.28

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Solution

The fourth proportional to 3,833.28, 5,742.36 and 3,563.28 is: 5,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.28 : 5,742.36 = 3,563.28 : x
  2. Step 2: Convert to fraction form
    3,833.28/5,742.36 = 3,563.28/x
  3. Step 3: Cross multiply
    3,833.28x = 5,742.36 × 3,563.28
  4. Step 4: Simplify right side
    3,833.28x = 20,461,636.54
  5. Step 5: Solve for x
    x = 20,461,636.54/3,833.28
  6. Step 6: Final answer
    x = 5,337.89

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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.