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Finding the Fourth Proportional to 3,061.82, 4,229.58 and 2,948.03

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Solution

The fourth proportional to 3,061.82, 4,229.58 and 2,948.03 is: 4,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.82 : 4,229.58 = 2,948.03 : x
  2. Step 2: Convert to fraction form
    3,061.82/4,229.58 = 2,948.03/x
  3. Step 3: Cross multiply
    3,061.82x = 4,229.58 × 2,948.03
  4. Step 4: Simplify right side
    3,061.82x = 12,468,939.30
  5. Step 5: Solve for x
    x = 12,468,939.30/3,061.82
  6. Step 6: Final answer
    x = 4,072.39

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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.