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Finding the Fourth Proportional to 5,231.58, 7,846.52 and 1,532.94

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Solution

The fourth proportional to 5,231.58, 7,846.52 and 1,532.94 is: 2,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.58 : 7,846.52 = 1,532.94 : x
  2. Step 2: Convert to fraction form
    5,231.58/7,846.52 = 1,532.94/x
  3. Step 3: Cross multiply
    5,231.58x = 7,846.52 × 1,532.94
  4. Step 4: Simplify right side
    5,231.58x = 12,028,244.37
  5. Step 5: Solve for x
    x = 12,028,244.37/5,231.58
  6. Step 6: Final answer
    x = 2,299.16

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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.