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Finding the Fourth Proportional to 5,143.56, 7,713.72 and 1,680

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Solution

The fourth proportional to 5,143.56, 7,713.72 and 1,680 is: 2,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.56 : 7,713.72 = 1,680 : x
  2. Step 2: Convert to fraction form
    5,143.56/7,713.72 = 1,680/x
  3. Step 3: Cross multiply
    5,143.56x = 7,713.72 × 1,680
  4. Step 4: Simplify right side
    5,143.56x = 12,959,049.60
  5. Step 5: Solve for x
    x = 12,959,049.60/5,143.56
  6. Step 6: Final answer
    x = 2,519.47

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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.