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Finding the Fourth Proportional to 3,834.36, 5,286.06 and 3,242.52

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Solution

The fourth proportional to 3,834.36, 5,286.06 and 3,242.52 is: 4,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.36 : 5,286.06 = 3,242.52 : x
  2. Step 2: Convert to fraction form
    3,834.36/5,286.06 = 3,242.52/x
  3. Step 3: Cross multiply
    3,834.36x = 5,286.06 × 3,242.52
  4. Step 4: Simplify right side
    3,834.36x = 17,140,155.27
  5. Step 5: Solve for x
    x = 17,140,155.27/3,834.36
  6. Step 6: Final answer
    x = 4,470.15

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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.