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Finding the Fourth Proportional to 5,438.92, 7,505.94 and 3,343.72

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Solution

The fourth proportional to 5,438.92, 7,505.94 and 3,343.72 is: 4,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.92 : 7,505.94 = 3,343.72 : x
  2. Step 2: Convert to fraction form
    5,438.92/7,505.94 = 3,343.72/x
  3. Step 3: Cross multiply
    5,438.92x = 7,505.94 × 3,343.72
  4. Step 4: Simplify right side
    5,438.92x = 25,097,761.70
  5. Step 5: Solve for x
    x = 25,097,761.70/5,438.92
  6. Step 6: Final answer
    x = 4,614.48

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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.