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Finding the Fourth Proportional to 4,286.92, 5,916.24 and 2,398.68

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Solution

The fourth proportional to 4,286.92, 5,916.24 and 2,398.68 is: 3,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.92 : 5,916.24 = 2,398.68 : x
  2. Step 2: Convert to fraction form
    4,286.92/5,916.24 = 2,398.68/x
  3. Step 3: Cross multiply
    4,286.92x = 5,916.24 × 2,398.68
  4. Step 4: Simplify right side
    4,286.92x = 14,191,166.56
  5. Step 5: Solve for x
    x = 14,191,166.56/4,286.92
  6. Step 6: Final answer
    x = 3,310.34

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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.