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Finding the Fourth Proportional to 3,936.08, 5,429 and 2,442.40

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Solution

The fourth proportional to 3,936.08, 5,429 and 2,442.40 is: 3,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.08 : 5,429 = 2,442.40 : x
  2. Step 2: Convert to fraction form
    3,936.08/5,429 = 2,442.40/x
  3. Step 3: Cross multiply
    3,936.08x = 5,429 × 2,442.40
  4. Step 4: Simplify right side
    3,936.08x = 13,259,789.60
  5. Step 5: Solve for x
    x = 13,259,789.60/3,936.08
  6. Step 6: Final answer
    x = 3,368.78

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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.