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Finding the Fourth Proportional to 5,058, 7,584.24 and 2,720.80

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Solution

The fourth proportional to 5,058, 7,584.24 and 2,720.80 is: 4,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058 : 7,584.24 = 2,720.80 : x
  2. Step 2: Convert to fraction form
    5,058/7,584.24 = 2,720.80/x
  3. Step 3: Cross multiply
    5,058x = 7,584.24 × 2,720.80
  4. Step 4: Simplify right side
    5,058x = 20,635,200.19
  5. Step 5: Solve for x
    x = 20,635,200.19/5,058
  6. Step 6: Final answer
    x = 4,079.72

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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.