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Finding the Fourth Proportional to 3,918.48, 5,406.54 and 2,239.38

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Solution

The fourth proportional to 3,918.48, 5,406.54 and 2,239.38 is: 3,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.48 : 5,406.54 = 2,239.38 : x
  2. Step 2: Convert to fraction form
    3,918.48/5,406.54 = 2,239.38/x
  3. Step 3: Cross multiply
    3,918.48x = 5,406.54 × 2,239.38
  4. Step 4: Simplify right side
    3,918.48x = 12,107,297.55
  5. Step 5: Solve for x
    x = 12,107,297.55/3,918.48
  6. Step 6: Final answer
    x = 3,089.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.