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Finding the Fourth Proportional to 5,564.66, 8,343.34 and 2,274.44

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Solution

The fourth proportional to 5,564.66, 8,343.34 and 2,274.44 is: 3,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.66 : 8,343.34 = 2,274.44 : x
  2. Step 2: Convert to fraction form
    5,564.66/8,343.34 = 2,274.44/x
  3. Step 3: Cross multiply
    5,564.66x = 8,343.34 × 2,274.44
  4. Step 4: Simplify right side
    5,564.66x = 18,976,426.23
  5. Step 5: Solve for x
    x = 18,976,426.23/5,564.66
  6. Step 6: Final answer
    x = 3,410.17

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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.