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Finding the Fourth Proportional to 4,530.46, 6,249.38 and 2,849.20

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Solution

The fourth proportional to 4,530.46, 6,249.38 and 2,849.20 is: 3,930.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.46 : 6,249.38 = 2,849.20 : x
  2. Step 2: Convert to fraction form
    4,530.46/6,249.38 = 2,849.20/x
  3. Step 3: Cross multiply
    4,530.46x = 6,249.38 × 2,849.20
  4. Step 4: Simplify right side
    4,530.46x = 17,805,733.50
  5. Step 5: Solve for x
    x = 17,805,733.50/4,530.46
  6. Step 6: Final answer
    x = 3,930.23

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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.