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Finding the Fourth Proportional to 5,769.33, 8,654.00 and 3,305.72

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Solution

The fourth proportional to 5,769.33, 8,654.00 and 3,305.72 is: 4,958.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.33 : 8,654.00 = 3,305.72 : x
  2. Step 2: Convert to fraction form
    5,769.33/8,654.00 = 3,305.72/x
  3. Step 3: Cross multiply
    5,769.33x = 8,654.00 × 3,305.72
  4. Step 4: Simplify right side
    5,769.33x = 28,607,641.08
  5. Step 5: Solve for x
    x = 28,607,641.08/5,769.33
  6. Step 6: Final answer
    x = 4,958.57

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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.