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Finding the Fourth Proportional to 5,402.32, 7,450.24 and 3,409.44

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Solution

The fourth proportional to 5,402.32, 7,450.24 and 3,409.44 is: 4,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.32 : 7,450.24 = 3,409.44 : x
  2. Step 2: Convert to fraction form
    5,402.32/7,450.24 = 3,409.44/x
  3. Step 3: Cross multiply
    5,402.32x = 7,450.24 × 3,409.44
  4. Step 4: Simplify right side
    5,402.32x = 25,401,146.27
  5. Step 5: Solve for x
    x = 25,401,146.27/5,402.32
  6. Step 6: Final answer
    x = 4,701.90

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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.