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Finding the Fourth Proportional to 5,611.79, 8,416.74 and 1,662.97

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Solution

The fourth proportional to 5,611.79, 8,416.74 and 1,662.97 is: 2,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.79 : 8,416.74 = 1,662.97 : x
  2. Step 2: Convert to fraction form
    5,611.79/8,416.74 = 1,662.97/x
  3. Step 3: Cross multiply
    5,611.79x = 8,416.74 × 1,662.97
  4. Step 4: Simplify right side
    5,611.79x = 13,996,786.12
  5. Step 5: Solve for x
    x = 13,996,786.12/5,611.79
  6. Step 6: Final answer
    x = 2,494.17

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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.