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Finding the Fourth Proportional to 5,548.66, 7,657.50 and 3,190.75

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Solution

The fourth proportional to 5,548.66, 7,657.50 and 3,190.75 is: 4,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.66 : 7,657.50 = 3,190.75 : x
  2. Step 2: Convert to fraction form
    5,548.66/7,657.50 = 3,190.75/x
  3. Step 3: Cross multiply
    5,548.66x = 7,657.50 × 3,190.75
  4. Step 4: Simplify right side
    5,548.66x = 24,433,160.95
  5. Step 5: Solve for x
    x = 24,433,160.95/5,548.66
  6. Step 6: Final answer
    x = 4,403.44

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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.