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Finding the Fourth Proportional to 5,319.19, 7,980 and 2,546.56

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Solution

The fourth proportional to 5,319.19, 7,980 and 2,546.56 is: 3,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.19 : 7,980 = 2,546.56 : x
  2. Step 2: Convert to fraction form
    5,319.19/7,980 = 2,546.56/x
  3. Step 3: Cross multiply
    5,319.19x = 7,980 × 2,546.56
  4. Step 4: Simplify right side
    5,319.19x = 20,321,548.80
  5. Step 5: Solve for x
    x = 20,321,548.80/5,319.19
  6. Step 6: Final answer
    x = 3,820.42

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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.