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Finding the Fourth Proportional to 4,134.57, 6,202.06 and 1,669.09

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Solution

The fourth proportional to 4,134.57, 6,202.06 and 1,669.09 is: 2,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.57 : 6,202.06 = 1,669.09 : x
  2. Step 2: Convert to fraction form
    4,134.57/6,202.06 = 1,669.09/x
  3. Step 3: Cross multiply
    4,134.57x = 6,202.06 × 1,669.09
  4. Step 4: Simplify right side
    4,134.57x = 10,351,774.41
  5. Step 5: Solve for x
    x = 10,351,774.41/4,134.57
  6. Step 6: Final answer
    x = 2,503.71

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