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Finding the Fourth Proportional to 5,231.70, 7,847.44 and 1,533.85

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Solution

The fourth proportional to 5,231.70, 7,847.44 and 1,533.85 is: 2,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.70 : 7,847.44 = 1,533.85 : x
  2. Step 2: Convert to fraction form
    5,231.70/7,847.44 = 1,533.85/x
  3. Step 3: Cross multiply
    5,231.70x = 7,847.44 × 1,533.85
  4. Step 4: Simplify right side
    5,231.70x = 12,036,756.61
  5. Step 5: Solve for x
    x = 12,036,756.61/5,231.70
  6. Step 6: Final answer
    x = 2,300.74

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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.