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Finding the Fourth Proportional to 5,769.50, 8,654.29 and 2,071.76

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Solution

The fourth proportional to 5,769.50, 8,654.29 and 2,071.76 is: 3,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.50 : 8,654.29 = 2,071.76 : x
  2. Step 2: Convert to fraction form
    5,769.50/8,654.29 = 2,071.76/x
  3. Step 3: Cross multiply
    5,769.50x = 8,654.29 × 2,071.76
  4. Step 4: Simplify right side
    5,769.50x = 17,929,601.49
  5. Step 5: Solve for x
    x = 17,929,601.49/5,769.50
  6. Step 6: Final answer
    x = 3,107.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.