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Finding the Fourth Proportional to 4,778.28, 7,159.34 and 2,314.28

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Solution

The fourth proportional to 4,778.28, 7,159.34 and 2,314.28 is: 3,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.28 : 7,159.34 = 2,314.28 : x
  2. Step 2: Convert to fraction form
    4,778.28/7,159.34 = 2,314.28/x
  3. Step 3: Cross multiply
    4,778.28x = 7,159.34 × 2,314.28
  4. Step 4: Simplify right side
    4,778.28x = 16,568,717.38
  5. Step 5: Solve for x
    x = 16,568,717.38/4,778.28
  6. Step 6: Final answer
    x = 3,467.51

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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.