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Finding the Fourth Proportional to 5,496.14, 8,245.06 and 1,797.48

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Solution

The fourth proportional to 5,496.14, 8,245.06 and 1,797.48 is: 2,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.14 : 8,245.06 = 1,797.48 : x
  2. Step 2: Convert to fraction form
    5,496.14/8,245.06 = 1,797.48/x
  3. Step 3: Cross multiply
    5,496.14x = 8,245.06 × 1,797.48
  4. Step 4: Simplify right side
    5,496.14x = 14,820,325.96
  5. Step 5: Solve for x
    x = 14,820,325.96/5,496.14
  6. Step 6: Final answer
    x = 2,696.50

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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.