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Finding the Fourth Proportional to 3,725.91, 5,143.38 and 2,383.28

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Solution

The fourth proportional to 3,725.91, 5,143.38 and 2,383.28 is: 3,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.91 : 5,143.38 = 2,383.28 : x
  2. Step 2: Convert to fraction form
    3,725.91/5,143.38 = 2,383.28/x
  3. Step 3: Cross multiply
    3,725.91x = 5,143.38 × 2,383.28
  4. Step 4: Simplify right side
    3,725.91x = 12,258,088.97
  5. Step 5: Solve for x
    x = 12,258,088.97/3,725.91
  6. Step 6: Final answer
    x = 3,289.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.