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Finding the Fourth Proportional to 3,211.60, 4,848.20 and 3,179.20

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Solution

The fourth proportional to 3,211.60, 4,848.20 and 3,179.20 is: 4,799.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.60 : 4,848.20 = 3,179.20 : x
  2. Step 2: Convert to fraction form
    3,211.60/4,848.20 = 3,179.20/x
  3. Step 3: Cross multiply
    3,211.60x = 4,848.20 × 3,179.20
  4. Step 4: Simplify right side
    3,211.60x = 15,413,397.44
  5. Step 5: Solve for x
    x = 15,413,397.44/3,211.60
  6. Step 6: Final answer
    x = 4,799.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.