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Finding the Fourth Proportional to 3,812.94, 5,257.85 and 2,820.29

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Solution

The fourth proportional to 3,812.94, 5,257.85 and 2,820.29 is: 3,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.94 : 5,257.85 = 2,820.29 : x
  2. Step 2: Convert to fraction form
    3,812.94/5,257.85 = 2,820.29/x
  3. Step 3: Cross multiply
    3,812.94x = 5,257.85 × 2,820.29
  4. Step 4: Simplify right side
    3,812.94x = 14,828,621.39
  5. Step 5: Solve for x
    x = 14,828,621.39/3,812.94
  6. Step 6: Final answer
    x = 3,889.03

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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.