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Finding the Fourth Proportional to 5,231.25, 7,845.30 and 1,532.31

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Solution

The fourth proportional to 5,231.25, 7,845.30 and 1,532.31 is: 2,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.25 : 7,845.30 = 1,532.31 : x
  2. Step 2: Convert to fraction form
    5,231.25/7,845.30 = 1,532.31/x
  3. Step 3: Cross multiply
    5,231.25x = 7,845.30 × 1,532.31
  4. Step 4: Simplify right side
    5,231.25x = 12,021,431.64
  5. Step 5: Solve for x
    x = 12,021,431.64/5,231.25
  6. Step 6: Final answer
    x = 2,298.00

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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.