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Finding the Fourth Proportional to 5,770.54, 8,656.23 and 2,072.80

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Solution

The fourth proportional to 5,770.54, 8,656.23 and 2,072.80 is: 3,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.54 : 8,656.23 = 2,072.80 : x
  2. Step 2: Convert to fraction form
    5,770.54/8,656.23 = 2,072.80/x
  3. Step 3: Cross multiply
    5,770.54x = 8,656.23 × 2,072.80
  4. Step 4: Simplify right side
    5,770.54x = 17,942,633.54
  5. Step 5: Solve for x
    x = 17,942,633.54/5,770.54
  6. Step 6: Final answer
    x = 3,109.35

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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.