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Finding the Fourth Proportional to 5,972.80, 8,944.80 and 5,713.60

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Solution

The fourth proportional to 5,972.80, 8,944.80 and 5,713.60 is: 8,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.80 : 8,944.80 = 5,713.60 : x
  2. Step 2: Convert to fraction form
    5,972.80/8,944.80 = 5,713.60/x
  3. Step 3: Cross multiply
    5,972.80x = 8,944.80 × 5,713.60
  4. Step 4: Simplify right side
    5,972.80x = 51,107,009.28
  5. Step 5: Solve for x
    x = 51,107,009.28/5,972.80
  6. Step 6: Final answer
    x = 8,556.62

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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.