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Finding the Fourth Proportional to 5,655.57, 7,804.67 and 3,171.57

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Solution

The fourth proportional to 5,655.57, 7,804.67 and 3,171.57 is: 4,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.57 : 7,804.67 = 3,171.57 : x
  2. Step 2: Convert to fraction form
    5,655.57/7,804.67 = 3,171.57/x
  3. Step 3: Cross multiply
    5,655.57x = 7,804.67 × 3,171.57
  4. Step 4: Simplify right side
    5,655.57x = 24,753,057.23
  5. Step 5: Solve for x
    x = 24,753,057.23/5,655.57
  6. Step 6: Final answer
    x = 4,376.76

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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.