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Finding the Fourth Proportional to 3,828.92, 5,283.77 and 2,339.33

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Solution

The fourth proportional to 3,828.92, 5,283.77 and 2,339.33 is: 3,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.92 : 5,283.77 = 2,339.33 : x
  2. Step 2: Convert to fraction form
    3,828.92/5,283.77 = 2,339.33/x
  3. Step 3: Cross multiply
    3,828.92x = 5,283.77 × 2,339.33
  4. Step 4: Simplify right side
    3,828.92x = 12,360,474.31
  5. Step 5: Solve for x
    x = 12,360,474.31/3,828.92
  6. Step 6: Final answer
    x = 3,228.19

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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.