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Finding the Fourth Proportional to 3,804.48, 5,249.76 and 2,148.16

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Solution

The fourth proportional to 3,804.48, 5,249.76 and 2,148.16 is: 2,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.48 : 5,249.76 = 2,148.16 : x
  2. Step 2: Convert to fraction form
    3,804.48/5,249.76 = 2,148.16/x
  3. Step 3: Cross multiply
    3,804.48x = 5,249.76 × 2,148.16
  4. Step 4: Simplify right side
    3,804.48x = 11,277,324.44
  5. Step 5: Solve for x
    x = 11,277,324.44/3,804.48
  6. Step 6: Final answer
    x = 2,964.22

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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.