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Finding the Fourth Proportional to 5,377.68, 8,096.40 and 4,213.92

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Solution

The fourth proportional to 5,377.68, 8,096.40 and 4,213.92 is: 6,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.68 : 8,096.40 = 4,213.92 : x
  2. Step 2: Convert to fraction form
    5,377.68/8,096.40 = 4,213.92/x
  3. Step 3: Cross multiply
    5,377.68x = 8,096.40 × 4,213.92
  4. Step 4: Simplify right side
    5,377.68x = 34,117,581.89
  5. Step 5: Solve for x
    x = 34,117,581.89/5,377.68
  6. Step 6: Final answer
    x = 6,344.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.