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Finding the Fourth Proportional to 3,584.56, 4,946.80 and 2,012.56

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Solution

The fourth proportional to 3,584.56, 4,946.80 and 2,012.56 is: 2,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.56 : 4,946.80 = 2,012.56 : x
  2. Step 2: Convert to fraction form
    3,584.56/4,946.80 = 2,012.56/x
  3. Step 3: Cross multiply
    3,584.56x = 4,946.80 × 2,012.56
  4. Step 4: Simplify right side
    3,584.56x = 9,955,731.81
  5. Step 5: Solve for x
    x = 9,955,731.81/3,584.56
  6. Step 6: Final answer
    x = 2,777.39

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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.