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Finding the Fourth Proportional to 5,769.60, 7,963.08 and 3,411.60

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Solution

The fourth proportional to 5,769.60, 7,963.08 and 3,411.60 is: 4,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.60 : 7,963.08 = 3,411.60 : x
  2. Step 2: Convert to fraction form
    5,769.60/7,963.08 = 3,411.60/x
  3. Step 3: Cross multiply
    5,769.60x = 7,963.08 × 3,411.60
  4. Step 4: Simplify right side
    5,769.60x = 27,166,843.73
  5. Step 5: Solve for x
    x = 27,166,843.73/5,769.60
  6. Step 6: Final answer
    x = 4,708.62

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1.5x scale

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.