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Finding the Fourth Proportional to 3,583.91, 4,946.25 and 2,012

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Solution

The fourth proportional to 3,583.91, 4,946.25 and 2,012 is: 2,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.91 : 4,946.25 = 2,012 : x
  2. Step 2: Convert to fraction form
    3,583.91/4,946.25 = 2,012/x
  3. Step 3: Cross multiply
    3,583.91x = 4,946.25 × 2,012
  4. Step 4: Simplify right side
    3,583.91x = 9,951,844.94
  5. Step 5: Solve for x
    x = 9,951,844.94/3,583.91
  6. Step 6: Final answer
    x = 2,776.82

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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.