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Finding the Fourth Proportional to 3,918, 5,402.04 and 3,076.08

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Solution

The fourth proportional to 3,918, 5,402.04 and 3,076.08 is: 4,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918 : 5,402.04 = 3,076.08 : x
  2. Step 2: Convert to fraction form
    3,918/5,402.04 = 3,076.08/x
  3. Step 3: Cross multiply
    3,918x = 5,402.04 × 3,076.08
  4. Step 4: Simplify right side
    3,918x = 16,617,107.20
  5. Step 5: Solve for x
    x = 16,617,107.20/3,918
  6. Step 6: Final answer
    x = 4,241.22

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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.