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Finding the Fourth Proportional to 3,918.33, 5,406.84 and 2,324.40

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Solution

The fourth proportional to 3,918.33, 5,406.84 and 2,324.40 is: 3,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.33 : 5,406.84 = 2,324.40 : x
  2. Step 2: Convert to fraction form
    3,918.33/5,406.84 = 2,324.40/x
  3. Step 3: Cross multiply
    3,918.33x = 5,406.84 × 2,324.40
  4. Step 4: Simplify right side
    3,918.33x = 12,567,631.86
  5. Step 5: Solve for x
    x = 12,567,631.86/3,918.33
  6. Step 6: Final answer
    x = 3,207.40

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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.