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Finding the Fourth Proportional to 3,476.98, 5,203.05 and 3,020.14

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Solution

The fourth proportional to 3,476.98, 5,203.05 and 3,020.14 is: 4,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.98 : 5,203.05 = 3,020.14 : x
  2. Step 2: Convert to fraction form
    3,476.98/5,203.05 = 3,020.14/x
  3. Step 3: Cross multiply
    3,476.98x = 5,203.05 × 3,020.14
  4. Step 4: Simplify right side
    3,476.98x = 15,713,939.43
  5. Step 5: Solve for x
    x = 15,713,939.43/3,476.98
  6. Step 6: Final answer
    x = 4,519.42

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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.