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Finding the Fourth Proportional to 5,468.13, 8,203.32 and 1,771.29

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Solution

The fourth proportional to 5,468.13, 8,203.32 and 1,771.29 is: 2,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.13 : 8,203.32 = 1,771.29 : x
  2. Step 2: Convert to fraction form
    5,468.13/8,203.32 = 1,771.29/x
  3. Step 3: Cross multiply
    5,468.13x = 8,203.32 × 1,771.29
  4. Step 4: Simplify right side
    5,468.13x = 14,530,458.68
  5. Step 5: Solve for x
    x = 14,530,458.68/5,468.13
  6. Step 6: Final answer
    x = 2,657.30

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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.