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Finding the Fourth Proportional to 5,769.68, 7,963.46 and 3,380.72

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Solution

The fourth proportional to 5,769.68, 7,963.46 and 3,380.72 is: 4,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.68 : 7,963.46 = 3,380.72 : x
  2. Step 2: Convert to fraction form
    5,769.68/7,963.46 = 3,380.72/x
  3. Step 3: Cross multiply
    5,769.68x = 7,963.46 × 3,380.72
  4. Step 4: Simplify right side
    5,769.68x = 26,922,228.49
  5. Step 5: Solve for x
    x = 26,922,228.49/5,769.68
  6. Step 6: Final answer
    x = 4,666.16

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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.