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Finding the Fourth Proportional to 5,295.96, 7,935.66 and 2,007.27

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Solution

The fourth proportional to 5,295.96, 7,935.66 and 2,007.27 is: 3,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.96 : 7,935.66 = 2,007.27 : x
  2. Step 2: Convert to fraction form
    5,295.96/7,935.66 = 2,007.27/x
  3. Step 3: Cross multiply
    5,295.96x = 7,935.66 × 2,007.27
  4. Step 4: Simplify right side
    5,295.96x = 15,929,012.25
  5. Step 5: Solve for x
    x = 15,929,012.25/5,295.96
  6. Step 6: Final answer
    x = 3,007.77

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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.