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Finding the Fourth Proportional to 4,896, 6,757.92 and 3,032.64

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Solution

The fourth proportional to 4,896, 6,757.92 and 3,032.64 is: 4,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 6,757.92 = 3,032.64 : x
  2. Step 2: Convert to fraction form
    4,896/6,757.92 = 3,032.64/x
  3. Step 3: Cross multiply
    4,896x = 6,757.92 × 3,032.64
  4. Step 4: Simplify right side
    4,896x = 20,494,338.51
  5. Step 5: Solve for x
    x = 20,494,338.51/4,896
  6. Step 6: Final answer
    x = 4,185.94

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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.