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Finding the Fourth Proportional to 3,914.75, 5,402.49 and 2,924.93

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Solution

The fourth proportional to 3,914.75, 5,402.49 and 2,924.93 is: 4,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.75 : 5,402.49 = 2,924.93 : x
  2. Step 2: Convert to fraction form
    3,914.75/5,402.49 = 2,924.93/x
  3. Step 3: Cross multiply
    3,914.75x = 5,402.49 × 2,924.93
  4. Step 4: Simplify right side
    3,914.75x = 15,801,905.08
  5. Step 5: Solve for x
    x = 15,801,905.08/3,914.75
  6. Step 6: Final answer
    x = 4,036.50

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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.