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Finding the Fourth Proportional to 4,286.96, 5,916 and 2,423.96

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Solution

The fourth proportional to 4,286.96, 5,916 and 2,423.96 is: 3,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.96 : 5,916 = 2,423.96 : x
  2. Step 2: Convert to fraction form
    4,286.96/5,916 = 2,423.96/x
  3. Step 3: Cross multiply
    4,286.96x = 5,916 × 2,423.96
  4. Step 4: Simplify right side
    4,286.96x = 14,340,147.36
  5. Step 5: Solve for x
    x = 14,340,147.36/4,286.96
  6. Step 6: Final answer
    x = 3,345.06

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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.