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Finding the Fourth Proportional to 5,295.64, 7,945.38 and 4,327.96

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Solution

The fourth proportional to 5,295.64, 7,945.38 and 4,327.96 is: 6,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.64 : 7,945.38 = 4,327.96 : x
  2. Step 2: Convert to fraction form
    5,295.64/7,945.38 = 4,327.96/x
  3. Step 3: Cross multiply
    5,295.64x = 7,945.38 × 4,327.96
  4. Step 4: Simplify right side
    5,295.64x = 34,387,286.82
  5. Step 5: Solve for x
    x = 34,387,286.82/5,295.64
  6. Step 6: Final answer
    x = 6,493.51

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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.