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Finding the Fourth Proportional to 5,824.50, 8,734.11 and 1,663.50

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Solution

The fourth proportional to 5,824.50, 8,734.11 and 1,663.50 is: 2,494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 8,734.11 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    5,824.50/8,734.11 = 1,663.50/x
  3. Step 3: Cross multiply
    5,824.50x = 8,734.11 × 1,663.50
  4. Step 4: Simplify right side
    5,824.50x = 14,529,191.99
  5. Step 5: Solve for x
    x = 14,529,191.99/5,824.50
  6. Step 6: Final answer
    x = 2,494.50

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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.