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Finding the Fourth Proportional to 4,949.54, 7,414.98 and 3,848.55

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Solution

The fourth proportional to 4,949.54, 7,414.98 and 3,848.55 is: 5,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.54 : 7,414.98 = 3,848.55 : x
  2. Step 2: Convert to fraction form
    4,949.54/7,414.98 = 3,848.55/x
  3. Step 3: Cross multiply
    4,949.54x = 7,414.98 × 3,848.55
  4. Step 4: Simplify right side
    4,949.54x = 28,536,921.28
  5. Step 5: Solve for x
    x = 28,536,921.28/4,949.54
  6. Step 6: Final answer
    x = 5,765.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.