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Finding the Fourth Proportional to 3,141.62, 4,711.82 and 2,985.49

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Solution

The fourth proportional to 3,141.62, 4,711.82 and 2,985.49 is: 4,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.62 : 4,711.82 = 2,985.49 : x
  2. Step 2: Convert to fraction form
    3,141.62/4,711.82 = 2,985.49/x
  3. Step 3: Cross multiply
    3,141.62x = 4,711.82 × 2,985.49
  4. Step 4: Simplify right side
    3,141.62x = 14,067,076.56
  5. Step 5: Solve for x
    x = 14,067,076.56/3,141.62
  6. Step 6: Final answer
    x = 4,477.65

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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.