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Finding the Fourth Proportional to 5,549.40, 7,657.74 and 3,191.09

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Solution

The fourth proportional to 5,549.40, 7,657.74 and 3,191.09 is: 4,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.40 : 7,657.74 = 3,191.09 : x
  2. Step 2: Convert to fraction form
    5,549.40/7,657.74 = 3,191.09/x
  3. Step 3: Cross multiply
    5,549.40x = 7,657.74 × 3,191.09
  4. Step 4: Simplify right side
    5,549.40x = 24,436,499.25
  5. Step 5: Solve for x
    x = 24,436,499.25/5,549.40
  6. Step 6: Final answer
    x = 4,403.45

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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.