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Finding the Fourth Proportional to 4,327.25, 6,493.76 and 1,591.25

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Solution

The fourth proportional to 4,327.25, 6,493.76 and 1,591.25 is: 2,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.25 : 6,493.76 = 1,591.25 : x
  2. Step 2: Convert to fraction form
    4,327.25/6,493.76 = 1,591.25/x
  3. Step 3: Cross multiply
    4,327.25x = 6,493.76 × 1,591.25
  4. Step 4: Simplify right side
    4,327.25x = 10,333,187.64
  5. Step 5: Solve for x
    x = 10,333,187.64/4,327.25
  6. Step 6: Final answer
    x = 2,387.93

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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.