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Finding the Fourth Proportional to 3,828.54, 5,696.19 and 3,815.58

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Solution

The fourth proportional to 3,828.54, 5,696.19 and 3,815.58 is: 5,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.54 : 5,696.19 = 3,815.58 : x
  2. Step 2: Convert to fraction form
    3,828.54/5,696.19 = 3,815.58/x
  3. Step 3: Cross multiply
    3,828.54x = 5,696.19 × 3,815.58
  4. Step 4: Simplify right side
    3,828.54x = 21,734,268.64
  5. Step 5: Solve for x
    x = 21,734,268.64/3,828.54
  6. Step 6: Final answer
    x = 5,676.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.