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Finding the Fourth Proportional to 4,952.44, 6,835.38 and 2,856.28

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Solution

The fourth proportional to 4,952.44, 6,835.38 and 2,856.28 is: 3,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.44 : 6,835.38 = 2,856.28 : x
  2. Step 2: Convert to fraction form
    4,952.44/6,835.38 = 2,856.28/x
  3. Step 3: Cross multiply
    4,952.44x = 6,835.38 × 2,856.28
  4. Step 4: Simplify right side
    4,952.44x = 19,523,759.19
  5. Step 5: Solve for x
    x = 19,523,759.19/4,952.44
  6. Step 6: Final answer
    x = 3,942.25

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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.