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Finding the Fourth Proportional to 5,072.83, 7,000.53 and 2,834.80

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Solution

The fourth proportional to 5,072.83, 7,000.53 and 2,834.80 is: 3,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.83 : 7,000.53 = 2,834.80 : x
  2. Step 2: Convert to fraction form
    5,072.83/7,000.53 = 2,834.80/x
  3. Step 3: Cross multiply
    5,072.83x = 7,000.53 × 2,834.80
  4. Step 4: Simplify right side
    5,072.83x = 19,845,074.31
  5. Step 5: Solve for x
    x = 19,845,074.31/5,072.83
  6. Step 6: Final answer
    x = 3,912.03

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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.