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Finding the Fourth Proportional to 3,476.35, 5,215.97 and 1,834.35

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Solution

The fourth proportional to 3,476.35, 5,215.97 and 1,834.35 is: 2,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.35 : 5,215.97 = 1,834.35 : x
  2. Step 2: Convert to fraction form
    3,476.35/5,215.97 = 1,834.35/x
  3. Step 3: Cross multiply
    3,476.35x = 5,215.97 × 1,834.35
  4. Step 4: Simplify right side
    3,476.35x = 9,567,914.57
  5. Step 5: Solve for x
    x = 9,567,914.57/3,476.35
  6. Step 6: Final answer
    x = 2,752.29

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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.