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Finding the Fourth Proportional to 2,473.92, 3,713.04 and 2,383.20

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Solution

The fourth proportional to 2,473.92, 3,713.04 and 2,383.20 is: 3,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.92 : 3,713.04 = 2,383.20 : x
  2. Step 2: Convert to fraction form
    2,473.92/3,713.04 = 2,383.20/x
  3. Step 3: Cross multiply
    2,473.92x = 3,713.04 × 2,383.20
  4. Step 4: Simplify right side
    2,473.92x = 8,848,916.93
  5. Step 5: Solve for x
    x = 8,848,916.93/2,473.92
  6. Step 6: Final answer
    x = 3,576.88

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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.