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Finding the Fourth Proportional to 5,200.68, 7,801.50 and 1,738.44

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Solution

The fourth proportional to 5,200.68, 7,801.50 and 1,738.44 is: 2,607.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.68 : 7,801.50 = 1,738.44 : x
  2. Step 2: Convert to fraction form
    5,200.68/7,801.50 = 1,738.44/x
  3. Step 3: Cross multiply
    5,200.68x = 7,801.50 × 1,738.44
  4. Step 4: Simplify right side
    5,200.68x = 13,562,439.66
  5. Step 5: Solve for x
    x = 13,562,439.66/5,200.68
  6. Step 6: Final answer
    x = 2,607.82

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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.