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Finding the Fourth Proportional to 5,769.12, 8,656.80 and 4,034.40

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Solution

The fourth proportional to 5,769.12, 8,656.80 and 4,034.40 is: 6,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.12 : 8,656.80 = 4,034.40 : x
  2. Step 2: Convert to fraction form
    5,769.12/8,656.80 = 4,034.40/x
  3. Step 3: Cross multiply
    5,769.12x = 8,656.80 × 4,034.40
  4. Step 4: Simplify right side
    5,769.12x = 34,924,993.92
  5. Step 5: Solve for x
    x = 34,924,993.92/5,769.12
  6. Step 6: Final answer
    x = 6,053.78

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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.