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Finding the Fourth Proportional to 5,770.71, 8,656.47 and 2,072.97

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Solution

The fourth proportional to 5,770.71, 8,656.47 and 2,072.97 is: 3,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.71 : 8,656.47 = 2,072.97 : x
  2. Step 2: Convert to fraction form
    5,770.71/8,656.47 = 2,072.97/x
  3. Step 3: Cross multiply
    5,770.71x = 8,656.47 × 2,072.97
  4. Step 4: Simplify right side
    5,770.71x = 17,944,602.62
  5. Step 5: Solve for x
    x = 17,944,602.62/5,770.71
  6. Step 6: Final answer
    x = 3,109.60

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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.