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Finding the Fourth Proportional to 5,548.67, 7,657.02 and 3,190.76

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Solution

The fourth proportional to 5,548.67, 7,657.02 and 3,190.76 is: 4,403.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.67 : 7,657.02 = 3,190.76 : x
  2. Step 2: Convert to fraction form
    5,548.67/7,657.02 = 3,190.76/x
  3. Step 3: Cross multiply
    5,548.67x = 7,657.02 × 3,190.76
  4. Step 4: Simplify right side
    5,548.67x = 24,431,713.14
  5. Step 5: Solve for x
    x = 24,431,713.14/5,548.67
  6. Step 6: Final answer
    x = 4,403.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.