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Finding the Fourth Proportional to 5,072.40, 6,999.30 and 2,834.10

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Solution

The fourth proportional to 5,072.40, 6,999.30 and 2,834.10 is: 3,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.40 : 6,999.30 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    5,072.40/6,999.30 = 2,834.10/x
  3. Step 3: Cross multiply
    5,072.40x = 6,999.30 × 2,834.10
  4. Step 4: Simplify right side
    5,072.40x = 19,836,716.13
  5. Step 5: Solve for x
    x = 19,836,716.13/5,072.40
  6. Step 6: Final answer
    x = 3,910.72

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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.