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Finding the Fourth Proportional to 4,852.96, 6,697.68 and 2,757.28

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Solution

The fourth proportional to 4,852.96, 6,697.68 and 2,757.28 is: 3,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.96 : 6,697.68 = 2,757.28 : x
  2. Step 2: Convert to fraction form
    4,852.96/6,697.68 = 2,757.28/x
  3. Step 3: Cross multiply
    4,852.96x = 6,697.68 × 2,757.28
  4. Step 4: Simplify right side
    4,852.96x = 18,467,379.11
  5. Step 5: Solve for x
    x = 18,467,379.11/4,852.96
  6. Step 6: Final answer
    x = 3,805.38

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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.