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Finding the Fourth Proportional to 3,402, 5,107.84 and 2,099.52

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Solution

The fourth proportional to 3,402, 5,107.84 and 2,099.52 is: 3,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 5,107.84 = 2,099.52 : x
  2. Step 2: Convert to fraction form
    3,402/5,107.84 = 2,099.52/x
  3. Step 3: Cross multiply
    3,402x = 5,107.84 × 2,099.52
  4. Step 4: Simplify right side
    3,402x = 10,724,012.24
  5. Step 5: Solve for x
    x = 10,724,012.24/3,402
  6. Step 6: Final answer
    x = 3,152.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.