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Finding the Fourth Proportional to 3,402, 5,076.27 and 2,935.44

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Solution

The fourth proportional to 3,402, 5,076.27 and 2,935.44 is: 4,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 5,076.27 = 2,935.44 : x
  2. Step 2: Convert to fraction form
    3,402/5,076.27 = 2,935.44/x
  3. Step 3: Cross multiply
    3,402x = 5,076.27 × 2,935.44
  4. Step 4: Simplify right side
    3,402x = 14,901,086.01
  5. Step 5: Solve for x
    x = 14,901,086.01/3,402
  6. Step 6: Final answer
    x = 4,380.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.