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Finding the Fourth Proportional to 5,769.80, 8,654.70 and 2,076.20

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Solution

The fourth proportional to 5,769.80, 8,654.70 and 2,076.20 is: 3,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.80 : 8,654.70 = 2,076.20 : x
  2. Step 2: Convert to fraction form
    5,769.80/8,654.70 = 2,076.20/x
  3. Step 3: Cross multiply
    5,769.80x = 8,654.70 × 2,076.20
  4. Step 4: Simplify right side
    5,769.80x = 17,968,888.14
  5. Step 5: Solve for x
    x = 17,968,888.14/5,769.80
  6. Step 6: Final answer
    x = 3,114.30

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1.5x scale

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.