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Finding the Fourth Proportional to 5,775.56, 7,970.27 and 3,122.97

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Solution

The fourth proportional to 5,775.56, 7,970.27 and 3,122.97 is: 4,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.56 : 7,970.27 = 3,122.97 : x
  2. Step 2: Convert to fraction form
    5,775.56/7,970.27 = 3,122.97/x
  3. Step 3: Cross multiply
    5,775.56x = 7,970.27 × 3,122.97
  4. Step 4: Simplify right side
    5,775.56x = 24,890,914.10
  5. Step 5: Solve for x
    x = 24,890,914.10/5,775.56
  6. Step 6: Final answer
    x = 4,309.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.