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Finding the Fourth Proportional to 5,496.12, 8,244.27 and 1,600.50

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Solution

The fourth proportional to 5,496.12, 8,244.27 and 1,600.50 is: 2,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.12 : 8,244.27 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    5,496.12/8,244.27 = 1,600.50/x
  3. Step 3: Cross multiply
    5,496.12x = 8,244.27 × 1,600.50
  4. Step 4: Simplify right side
    5,496.12x = 13,194,954.14
  5. Step 5: Solve for x
    x = 13,194,954.14/5,496.12
  6. Step 6: Final answer
    x = 2,400.78

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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.