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Finding the Fourth Proportional to 3,559.87, 4,912.54 and 1,966.63

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Solution

The fourth proportional to 3,559.87, 4,912.54 and 1,966.63 is: 2,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.87 : 4,912.54 = 1,966.63 : x
  2. Step 2: Convert to fraction form
    3,559.87/4,912.54 = 1,966.63/x
  3. Step 3: Cross multiply
    3,559.87x = 4,912.54 × 1,966.63
  4. Step 4: Simplify right side
    3,559.87x = 9,661,148.54
  5. Step 5: Solve for x
    x = 9,661,148.54/3,559.87
  6. Step 6: Final answer
    x = 2,713.90

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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.