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Finding the Fourth Proportional to 5,884.50, 8,829.99 and 2,806.50

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Solution

The fourth proportional to 5,884.50, 8,829.99 and 2,806.50 is: 4,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.50 : 8,829.99 = 2,806.50 : x
  2. Step 2: Convert to fraction form
    5,884.50/8,829.99 = 2,806.50/x
  3. Step 3: Cross multiply
    5,884.50x = 8,829.99 × 2,806.50
  4. Step 4: Simplify right side
    5,884.50x = 24,781,366.94
  5. Step 5: Solve for x
    x = 24,781,366.94/5,884.50
  6. Step 6: Final answer
    x = 4,211.30

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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.