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Finding the Fourth Proportional to 3,805.38, 5,249.52 and 3,280.50

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Solution

The fourth proportional to 3,805.38, 5,249.52 and 3,280.50 is: 4,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.38 : 5,249.52 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    3,805.38/5,249.52 = 3,280.50/x
  3. Step 3: Cross multiply
    3,805.38x = 5,249.52 × 3,280.50
  4. Step 4: Simplify right side
    3,805.38x = 17,221,050.36
  5. Step 5: Solve for x
    x = 17,221,050.36/3,805.38
  6. Step 6: Final answer
    x = 4,525.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.