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Finding the Fourth Proportional to 5,204, 7,803.44 and 2,280.48

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Solution

The fourth proportional to 5,204, 7,803.44 and 2,280.48 is: 3,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 7,803.44 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    5,204/7,803.44 = 2,280.48/x
  3. Step 3: Cross multiply
    5,204x = 7,803.44 × 2,280.48
  4. Step 4: Simplify right side
    5,204x = 17,795,588.85
  5. Step 5: Solve for x
    x = 17,795,588.85/5,204
  6. Step 6: Final answer
    x = 3,419.60

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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.