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Finding the Fourth Proportional to 4,132.71, 6,199.83 and 2,469.74

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Solution

The fourth proportional to 4,132.71, 6,199.83 and 2,469.74 is: 3,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.71 : 6,199.83 = 2,469.74 : x
  2. Step 2: Convert to fraction form
    4,132.71/6,199.83 = 2,469.74/x
  3. Step 3: Cross multiply
    4,132.71x = 6,199.83 × 2,469.74
  4. Step 4: Simplify right side
    4,132.71x = 15,311,968.14
  5. Step 5: Solve for x
    x = 15,311,968.14/4,132.71
  6. Step 6: Final answer
    x = 3,705.07

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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.