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Finding the Fourth Proportional to 5,337.44, 8,007.96 and 1,640.24

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Solution

The fourth proportional to 5,337.44, 8,007.96 and 1,640.24 is: 2,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.44 : 8,007.96 = 1,640.24 : x
  2. Step 2: Convert to fraction form
    5,337.44/8,007.96 = 1,640.24/x
  3. Step 3: Cross multiply
    5,337.44x = 8,007.96 × 1,640.24
  4. Step 4: Simplify right side
    5,337.44x = 13,134,976.31
  5. Step 5: Solve for x
    x = 13,134,976.31/5,337.44
  6. Step 6: Final answer
    x = 2,460.91

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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.