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Finding the Fourth Proportional to 4,837.65, 7,257.21 and 2,064.32

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Solution

The fourth proportional to 4,837.65, 7,257.21 and 2,064.32 is: 3,096.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.65 : 7,257.21 = 2,064.32 : x
  2. Step 2: Convert to fraction form
    4,837.65/7,257.21 = 2,064.32/x
  3. Step 3: Cross multiply
    4,837.65x = 7,257.21 × 2,064.32
  4. Step 4: Simplify right side
    4,837.65x = 14,981,157.14
  5. Step 5: Solve for x
    x = 14,981,157.14/4,837.65
  6. Step 6: Final answer
    x = 3,096.78

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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.