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Finding the Fourth Proportional to 3,875.84, 5,801.03 and 2,747.94

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Solution

The fourth proportional to 3,875.84, 5,801.03 and 2,747.94 is: 4,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.84 : 5,801.03 = 2,747.94 : x
  2. Step 2: Convert to fraction form
    3,875.84/5,801.03 = 2,747.94/x
  3. Step 3: Cross multiply
    3,875.84x = 5,801.03 × 2,747.94
  4. Step 4: Simplify right side
    3,875.84x = 15,940,857.19
  5. Step 5: Solve for x
    x = 15,940,857.19/3,875.84
  6. Step 6: Final answer
    x = 4,112.88

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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.