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Finding the Fourth Proportional to 3,483.60, 5,193.50 and 3,175.80

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Solution

The fourth proportional to 3,483.60, 5,193.50 and 3,175.80 is: 4,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.60 : 5,193.50 = 3,175.80 : x
  2. Step 2: Convert to fraction form
    3,483.60/5,193.50 = 3,175.80/x
  3. Step 3: Cross multiply
    3,483.60x = 5,193.50 × 3,175.80
  4. Step 4: Simplify right side
    3,483.60x = 16,493,517.30
  5. Step 5: Solve for x
    x = 16,493,517.30/3,483.60
  6. Step 6: Final answer
    x = 4,734.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.