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Finding the Fourth Proportional to 3,768.52, 5,190.06 and 3,036.28

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Solution

The fourth proportional to 3,768.52, 5,190.06 and 3,036.28 is: 4,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.52 : 5,190.06 = 3,036.28 : x
  2. Step 2: Convert to fraction form
    3,768.52/5,190.06 = 3,036.28/x
  3. Step 3: Cross multiply
    3,768.52x = 5,190.06 × 3,036.28
  4. Step 4: Simplify right side
    3,768.52x = 15,758,475.38
  5. Step 5: Solve for x
    x = 15,758,475.38/3,768.52
  6. Step 6: Final answer
    x = 4,181.61

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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.