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Finding the Fourth Proportional to 3,195.28, 4,784.28 and 2,458.96

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Solution

The fourth proportional to 3,195.28, 4,784.28 and 2,458.96 is: 3,681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.28 : 4,784.28 = 2,458.96 : x
  2. Step 2: Convert to fraction form
    3,195.28/4,784.28 = 2,458.96/x
  3. Step 3: Cross multiply
    3,195.28x = 4,784.28 × 2,458.96
  4. Step 4: Simplify right side
    3,195.28x = 11,764,353.15
  5. Step 5: Solve for x
    x = 11,764,353.15/3,195.28
  6. Step 6: Final answer
    x = 3,681.79

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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.