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Finding the Fourth Proportional to 3,857.38, 5,320.78 and 2,848.06

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Solution

The fourth proportional to 3,857.38, 5,320.78 and 2,848.06 is: 3,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.38 : 5,320.78 = 2,848.06 : x
  2. Step 2: Convert to fraction form
    3,857.38/5,320.78 = 2,848.06/x
  3. Step 3: Cross multiply
    3,857.38x = 5,320.78 × 2,848.06
  4. Step 4: Simplify right side
    3,857.38x = 15,153,900.69
  5. Step 5: Solve for x
    x = 15,153,900.69/3,857.38
  6. Step 6: Final answer
    x = 3,928.55

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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.