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Finding the Fourth Proportional to 3,914.64, 5,402.16 and 2,342.43

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Solution

The fourth proportional to 3,914.64, 5,402.16 and 2,342.43 is: 3,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.64 : 5,402.16 = 2,342.43 : x
  2. Step 2: Convert to fraction form
    3,914.64/5,402.16 = 2,342.43/x
  3. Step 3: Cross multiply
    3,914.64x = 5,402.16 × 2,342.43
  4. Step 4: Simplify right side
    3,914.64x = 12,654,181.65
  5. Step 5: Solve for x
    x = 12,654,181.65/3,914.64
  6. Step 6: Final answer
    x = 3,232.53

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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.