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Finding the Fourth Proportional to 5,102.68, 7,657.08 and 2,180.98

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Solution

The fourth proportional to 5,102.68, 7,657.08 and 2,180.98 is: 3,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.68 : 7,657.08 = 2,180.98 : x
  2. Step 2: Convert to fraction form
    5,102.68/7,657.08 = 2,180.98/x
  3. Step 3: Cross multiply
    5,102.68x = 7,657.08 × 2,180.98
  4. Step 4: Simplify right side
    5,102.68x = 16,699,938.69
  5. Step 5: Solve for x
    x = 16,699,938.69/5,102.68
  6. Step 6: Final answer
    x = 3,272.78

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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.