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Finding the Fourth Proportional to 3,863.52, 5,796.72 and 2,303.28

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Solution

The fourth proportional to 3,863.52, 5,796.72 and 2,303.28 is: 3,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.52 : 5,796.72 = 2,303.28 : x
  2. Step 2: Convert to fraction form
    3,863.52/5,796.72 = 2,303.28/x
  3. Step 3: Cross multiply
    3,863.52x = 5,796.72 × 2,303.28
  4. Step 4: Simplify right side
    3,863.52x = 13,351,469.24
  5. Step 5: Solve for x
    x = 13,351,469.24/3,863.52
  6. Step 6: Final answer
    x = 3,455.78

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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.