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Finding the Fourth Proportional to 5,013.44, 6,917.28 and 3,769.28

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Solution

The fourth proportional to 5,013.44, 6,917.28 and 3,769.28 is: 5,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.44 : 6,917.28 = 3,769.28 : x
  2. Step 2: Convert to fraction form
    5,013.44/6,917.28 = 3,769.28/x
  3. Step 3: Cross multiply
    5,013.44x = 6,917.28 × 3,769.28
  4. Step 4: Simplify right side
    5,013.44x = 26,073,165.16
  5. Step 5: Solve for x
    x = 26,073,165.16/5,013.44
  6. Step 6: Final answer
    x = 5,200.65

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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.