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Finding the Fourth Proportional to 5,769.69, 8,654.96 and 2,071.95

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Solution

The fourth proportional to 5,769.69, 8,654.96 and 2,071.95 is: 3,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.69 : 8,654.96 = 2,071.95 : x
  2. Step 2: Convert to fraction form
    5,769.69/8,654.96 = 2,071.95/x
  3. Step 3: Cross multiply
    5,769.69x = 8,654.96 × 2,071.95
  4. Step 4: Simplify right side
    5,769.69x = 17,932,693.04
  5. Step 5: Solve for x
    x = 17,932,693.04/5,769.69
  6. Step 6: Final answer
    x = 3,108.08

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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.