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Finding the Fourth Proportional to 3,914.54, 5,402.05 and 2,122.07

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Solution

The fourth proportional to 3,914.54, 5,402.05 and 2,122.07 is: 2,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.54 : 5,402.05 = 2,122.07 : x
  2. Step 2: Convert to fraction form
    3,914.54/5,402.05 = 2,122.07/x
  3. Step 3: Cross multiply
    3,914.54x = 5,402.05 × 2,122.07
  4. Step 4: Simplify right side
    3,914.54x = 11,463,528.24
  5. Step 5: Solve for x
    x = 11,463,528.24/3,914.54
  6. Step 6: Final answer
    x = 2,928.45

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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.