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Finding the Fourth Proportional to 5,349.05, 8,023.96 and 1,650.80

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Solution

The fourth proportional to 5,349.05, 8,023.96 and 1,650.80 is: 2,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.05 : 8,023.96 = 1,650.80 : x
  2. Step 2: Convert to fraction form
    5,349.05/8,023.96 = 1,650.80/x
  3. Step 3: Cross multiply
    5,349.05x = 8,023.96 × 1,650.80
  4. Step 4: Simplify right side
    5,349.05x = 13,245,943.60
  5. Step 5: Solve for x
    x = 13,245,943.60/5,349.05
  6. Step 6: Final answer
    x = 2,476.32

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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.