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Finding the Fourth Proportional to 5,311.56, 7,967.39 and 2,024.99

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Solution

The fourth proportional to 5,311.56, 7,967.39 and 2,024.99 is: 3,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.56 : 7,967.39 = 2,024.99 : x
  2. Step 2: Convert to fraction form
    5,311.56/7,967.39 = 2,024.99/x
  3. Step 3: Cross multiply
    5,311.56x = 7,967.39 × 2,024.99
  4. Step 4: Simplify right side
    5,311.56x = 16,133,835.11
  5. Step 5: Solve for x
    x = 16,133,835.11/5,311.56
  6. Step 6: Final answer
    x = 3,037.49

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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.