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Finding the Fourth Proportional to 5,511.50, 8,227.57 and 4,723

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Solution

The fourth proportional to 5,511.50, 8,227.57 and 4,723 is: 7,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.50 : 8,227.57 = 4,723 : x
  2. Step 2: Convert to fraction form
    5,511.50/8,227.57 = 4,723/x
  3. Step 3: Cross multiply
    5,511.50x = 8,227.57 × 4,723
  4. Step 4: Simplify right side
    5,511.50x = 38,858,813.11
  5. Step 5: Solve for x
    x = 38,858,813.11/5,511.50
  6. Step 6: Final answer
    x = 7,050.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.