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Finding the Fourth Proportional to 4,817.92, 7,223.04 and 2,080

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Solution

The fourth proportional to 4,817.92, 7,223.04 and 2,080 is: 3,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.92 : 7,223.04 = 2,080 : x
  2. Step 2: Convert to fraction form
    4,817.92/7,223.04 = 2,080/x
  3. Step 3: Cross multiply
    4,817.92x = 7,223.04 × 2,080
  4. Step 4: Simplify right side
    4,817.92x = 15,023,923.20
  5. Step 5: Solve for x
    x = 15,023,923.20/4,817.92
  6. Step 6: Final answer
    x = 3,118.34

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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.