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Finding the Fourth Proportional to 4,882.78, 6,734.34 and 3,157.48

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Solution

The fourth proportional to 4,882.78, 6,734.34 and 3,157.48 is: 4,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.78 : 6,734.34 = 3,157.48 : x
  2. Step 2: Convert to fraction form
    4,882.78/6,734.34 = 3,157.48/x
  3. Step 3: Cross multiply
    4,882.78x = 6,734.34 × 3,157.48
  4. Step 4: Simplify right side
    4,882.78x = 21,263,552.28
  5. Step 5: Solve for x
    x = 21,263,552.28/4,882.78
  6. Step 6: Final answer
    x = 4,354.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.