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Finding the Fourth Proportional to 5,736.67, 8,591.14 and 3,263.99

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Solution

The fourth proportional to 5,736.67, 8,591.14 and 3,263.99 is: 4,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.67 : 8,591.14 = 3,263.99 : x
  2. Step 2: Convert to fraction form
    5,736.67/8,591.14 = 3,263.99/x
  3. Step 3: Cross multiply
    5,736.67x = 8,591.14 × 3,263.99
  4. Step 4: Simplify right side
    5,736.67x = 28,041,395.05
  5. Step 5: Solve for x
    x = 28,041,395.05/5,736.67
  6. Step 6: Final answer
    x = 4,888.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.