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Finding the Fourth Proportional to 5,280.92, 7,287.62 and 2,923

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Solution

The fourth proportional to 5,280.92, 7,287.62 and 2,923 is: 4,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.92 : 7,287.62 = 2,923 : x
  2. Step 2: Convert to fraction form
    5,280.92/7,287.62 = 2,923/x
  3. Step 3: Cross multiply
    5,280.92x = 7,287.62 × 2,923
  4. Step 4: Simplify right side
    5,280.92x = 21,301,713.26
  5. Step 5: Solve for x
    x = 21,301,713.26/5,280.92
  6. Step 6: Final answer
    x = 4,033.71

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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.