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Finding the Fourth Proportional to 3,828.52, 5,283.34 and 2,172.52

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Solution

The fourth proportional to 3,828.52, 5,283.34 and 2,172.52 is: 2,998.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.52 : 5,283.34 = 2,172.52 : x
  2. Step 2: Convert to fraction form
    3,828.52/5,283.34 = 2,172.52/x
  3. Step 3: Cross multiply
    3,828.52x = 5,283.34 × 2,172.52
  4. Step 4: Simplify right side
    3,828.52x = 11,478,161.82
  5. Step 5: Solve for x
    x = 11,478,161.82/3,828.52
  6. Step 6: Final answer
    x = 2,998.07

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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.