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Finding the Fourth Proportional to 3,584.65, 4,946.54 and 2,012.44

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Solution

The fourth proportional to 3,584.65, 4,946.54 and 2,012.44 is: 2,777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.65 : 4,946.54 = 2,012.44 : x
  2. Step 2: Convert to fraction form
    3,584.65/4,946.54 = 2,012.44/x
  3. Step 3: Cross multiply
    3,584.65x = 4,946.54 × 2,012.44
  4. Step 4: Simplify right side
    3,584.65x = 9,954,607.62
  5. Step 5: Solve for x
    x = 9,954,607.62/3,584.65
  6. Step 6: Final answer
    x = 2,777.01

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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.