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Finding the Fourth Proportional to 5,296.64, 7,942.43 and 1,962.60

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Solution

The fourth proportional to 5,296.64, 7,942.43 and 1,962.60 is: 2,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.64 : 7,942.43 = 1,962.60 : x
  2. Step 2: Convert to fraction form
    5,296.64/7,942.43 = 1,962.60/x
  3. Step 3: Cross multiply
    5,296.64x = 7,942.43 × 1,962.60
  4. Step 4: Simplify right side
    5,296.64x = 15,587,818.02
  5. Step 5: Solve for x
    x = 15,587,818.02/5,296.64
  6. Step 6: Final answer
    x = 2,942.96

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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.