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Finding the Fourth Proportional to 5,274.72, 7,912.08 and 2,352.24

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Solution

The fourth proportional to 5,274.72, 7,912.08 and 2,352.24 is: 3,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.72 : 7,912.08 = 2,352.24 : x
  2. Step 2: Convert to fraction form
    5,274.72/7,912.08 = 2,352.24/x
  3. Step 3: Cross multiply
    5,274.72x = 7,912.08 × 2,352.24
  4. Step 4: Simplify right side
    5,274.72x = 18,611,111.06
  5. Step 5: Solve for x
    x = 18,611,111.06/5,274.72
  6. Step 6: Final answer
    x = 3,528.36

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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.