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Finding the Fourth Proportional to 5,137.20, 7,705.80 and 2,539.80

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Solution

The fourth proportional to 5,137.20, 7,705.80 and 2,539.80 is: 3,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.20 : 7,705.80 = 2,539.80 : x
  2. Step 2: Convert to fraction form
    5,137.20/7,705.80 = 2,539.80/x
  3. Step 3: Cross multiply
    5,137.20x = 7,705.80 × 2,539.80
  4. Step 4: Simplify right side
    5,137.20x = 19,571,190.84
  5. Step 5: Solve for x
    x = 19,571,190.84/5,137.20
  6. Step 6: Final answer
    x = 3,809.70

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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.