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Finding the Fourth Proportional to 4,333.60, 6,500.40 and 1,993.60

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Solution

The fourth proportional to 4,333.60, 6,500.40 and 1,993.60 is: 2,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.60 : 6,500.40 = 1,993.60 : x
  2. Step 2: Convert to fraction form
    4,333.60/6,500.40 = 1,993.60/x
  3. Step 3: Cross multiply
    4,333.60x = 6,500.40 × 1,993.60
  4. Step 4: Simplify right side
    4,333.60x = 12,959,197.44
  5. Step 5: Solve for x
    x = 12,959,197.44/4,333.60
  6. Step 6: Final answer
    x = 2,990.40

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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.