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Finding the Fourth Proportional to 4,889.96, 7,331.68 and 2,293.64

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Solution

The fourth proportional to 4,889.96, 7,331.68 and 2,293.64 is: 3,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.96 : 7,331.68 = 2,293.64 : x
  2. Step 2: Convert to fraction form
    4,889.96/7,331.68 = 2,293.64/x
  3. Step 3: Cross multiply
    4,889.96x = 7,331.68 × 2,293.64
  4. Step 4: Simplify right side
    4,889.96x = 16,816,234.52
  5. Step 5: Solve for x
    x = 16,816,234.52/4,889.96
  6. Step 6: Final answer
    x = 3,438.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.