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Finding the Fourth Proportional to 5,756.56, 7,942.72 and 3,399.05

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Solution

The fourth proportional to 5,756.56, 7,942.72 and 3,399.05 is: 4,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.56 : 7,942.72 = 3,399.05 : x
  2. Step 2: Convert to fraction form
    5,756.56/7,942.72 = 3,399.05/x
  3. Step 3: Cross multiply
    5,756.56x = 7,942.72 × 3,399.05
  4. Step 4: Simplify right side
    5,756.56x = 26,997,702.42
  5. Step 5: Solve for x
    x = 26,997,702.42/5,756.56
  6. Step 6: Final answer
    x = 4,689.90

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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.